Quotient Rule

Key Questions

• How do you use the quotient rule to differentiate #y=(2x^4-3x)/(4x-1)#?

  Quotient Rule:

  #y'=(g(x)f'(x)-f(x)g'(x))/(g(x))^2#

  #y=f(x)/g(x)=(2x^4-3x)/(4x-1)#

  #f'(x)=8x^3-3#

  #g'(x)=4#

  #(g(x))^2=(4x-1)^2#

  #y'=((4x-1)(8x^3-3)-(2x^4-3x)(4))/(4x-1)^2#

  #y'=(32x^4-12x-8x^3+3-8x^4+12x)/(4x-1)^2#

  Simplify for combining like terms.

  #Solution->y'=(24x^4-8x^3+3)/(4x-1)^2#

  AJ Speller · 3 · Sep 23 2014
• How do you use the quotient rule to find the derivative of #y=(1+sqrt(x))/(1-sqrt(x))# ?

  #y'=1/(sqrtx)*1/((1-sqrtx)^2)#

  Explanation :

  Using Quotient Rule, which is

  #y=f(x)/g(x)#, then

  #y'=(g(x)f'(x)-f(x)g'(x))/(g(x))^2#

  Similarly following for the given problem,

  #y=(1+sqrtx)/(1-sqrtx)#

  #y'=((1-sqrtx)(1/(2sqrtx))-(1+sqrtx)(-1/(2sqrtx)))/((1-sqrtx)^2)#

  #y'=1/(2sqrtx)*(1-sqrtx+1+sqrtx)/((1-sqrtx)^2)#

  #y'=1/(2sqrtx)*(2)/((1-sqrtx)^2)#

  #y'=1/(sqrtx)*1/((1-sqrtx)^2)#

  Gaurav · · Sep 2 2014
• What is the quotient rule?

  Answer:

  #((u(x))/(v(x)))^'=(u^'(x)*v(x)-u(x)*v'(x))/((v(x))²)#

  Explanation:

  Assuming that those who are reading have a minimum level in Maths, everyone knows perfectly that the quotient rule is #color(blue)(((u(x))/(v(x)))^'=(u^'(x)*v(x)-u(x)*v'(x))/((v(x))²))#, where #u(x)# and #v(x)# are functions and #u'(x)#, #v'(x)# respective derivates. But, where does it come from?
  Let's find out!

  Considering #f(x)=(u(x))/(v(x))#, and by definition, #f'(x)=lim_(h to 0)(f(x+h)-f(x))/h#
  So :
  #f'(x)=lim_(h to 0) ((u(x+h))/(v(x+h))-(u(x))/(v(x)))/h#

  Now we need a common denominator :

  #f'(x)=lim_(h to 0)((u(x+h)color(red)(*v(x)))/(v(x+h)color(red)(*v(x)))-(u(x)color(red)(*v(x+h)))/(v(x)color(red)(*v(x+h))))/h#
  #f'(x)=lim_(h to 0)(u(x+h)color(red)(*v(x))-u(x)color(red)(*v(x+h)))/(v(x)*v(x+h))*1/h#
  #f'(x)=lim_(h to 0)(u(x+h)color(red)(*v(x))-u(x)color(red)(*v(x+h)))/(h*v(x)*v(x+h))#

  This expression isn't very useful for the moment, so let's add an intelligent 0:

  #f'(x)=lim_(h to 0)(u(x+h)v(x)-u(x)v(x+h)color(red)(+u(x)v(x)-u(x)v(x)))/(hv(x)v(x+h))#
  Now we can factoring :

  #f'(x)=lim_(h to 0)(v(x)(u(x+h)-u(x))+u(x)(v(x)-v(x+h)))/(hv(x)v(x+h))#
  Now we can cut our limit into two limits :
  #f'(x)=lim_(h to 0)(v(x)(u(x+h)-u(x)))/(hv(x)v(x+h))+lim_(h to 0)(u(x)(v(x)-v(x+h)))/(hv(x)v(x+h))#
  #f'(x)=lim_(h to 0)(v(x))/(v(x)v(x+h))*cancel((u(x+h)-u(x))/h)^(=u'(x))-lim_(h to 0)(u(x)(v(x+h)-v(x)))/(hv(x)v(x+h))#

  #f'(x)=lim_(h to 0)(v(x)u'(x))/(v(x)(v(x+h)))-lim_(h to 0)(u(x))/(v(x)v(x+h))*cancel((v(x+h)-v(x))/h)^(=v'(x))#
  #f'(x)=lim_(h to 0)(v(x)u'(x))/(v(x)(v(x+h)))-lim_(h to 0)(u(x)v'(x))/(v(x)v(x+h))#
  #f'(x)=lim_(h to 0)(v(x)u'(x)-u(x)v'(x))/(v(x)v(x+h))#
  And because #v(x+h)≈_(h to 0)v(x)#,
  #f'(x)=(u^'(x)*v(x)-u(x)*v'(x))/((v(x))²)#
  \0/ here's our answer !

  Guillaume L. · 2 · May 30 2018

• What is the Quotient Rule for derivatives?
• How do I use the quotient rule to find the derivative?
• How do you prove the quotient rule?
• How do you use the quotient rule to differentiate #y=(2x^4-3x)/(4x-1)#?
• How do you use the quotient rule to differentiate #y=cos(x)/ln(x)#?
• How do you use the quotient rule to find the derivative of #y=tan(x)# ?
• How do you use the quotient rule to find the derivative of #y=x/(x^2+1)# ?
• How do you use the quotient rule to find the derivative of #y=(e^x+1)/(e^x-1)# ?
• How do you use the quotient rule to find the derivative of #y=(x-sqrt(x))/(x^(1/3))# ?
• How do you use the quotient rule to find the derivative of #y=x/(3+e^x)# ?
• How do you use the quotient rule to find the derivative of #y=(1-x*e^x)/(x+e^x)# ?
• How do you use the quotient rule to find the derivative of #y=x/(x-1)^2# ?
• How do you use the quotient rule to find the derivative of #y=x^3/(1+x^2)# ?
• How do you use the quotient rule to find the derivative of #y=(ax+b)/(cx+d)# ?
• How do you use the quotient rule to find the derivative of #y=e^x/cos(x)# ?
• How do you use the quotient rule to find the derivative of #y=x/ln(x)# ?
• How do you use the quotient rule to find the derivative of #y=(1+sqrt(x))/(1-sqrt(x))# ?
• How do you use the quotient rule to find the derivative of #y=(1+cos(x))/(1+sin(x))# ?
• How can you derive the quotient rule?
• How do i find the derivative of #(cos^2(x))/(1-sin^2(x))#?
• How do I find the derivative of #y=(ln(3x))/(3x#?
• How do I find the derivative of #y = ln (9x)/(1+x)#?
• How do you differentiate #f(x)= x/(x+1) #?
• How do you find the derivative of rational functions: #(3/x)#, #(7/x^2)#, #(x^3/sqrt(x))#?
• How do you differentiate #(x^3 - 9x)/(x^2-7x+12)#?
• How do you differentiate #f(x)=x^2/sin x#?
• How do you find the derivative of #y=(ln(3x))/(3x)#?
• How do you find the derivative of #y=e^x/x#?
• How do you find derivative of #y=(-2lnx)/(3x-1)#?
• How do you differentiate #y=x/(3x-1)#?
• How do you find the derivative of #f(x)=x^8/sin(5x)#?
• How do you find the derivative #y=ln(9x)/(1+x)#?
• How do you find the derivative of #1/x^2#?
• How do you find the derivative of #1/x#?
• How do you calculate the derivative of #(4x- 3)/(sqrt(2x^2 +1))#?
• How do you calculator the derivative for #(2x-5)/(x^(2)-4)#?
• If #f(x) = [5x^2+10x+26]/sqrt(x)# how do you find #f '(x)#?
• What is the second derivative of #x/(2+ e^x)#?
• How do you differentiate #(3x^2+4) / (sqrt(1+x^2))#?
• How do you use the definition of derivative to compute the derivative of the function #f(x) = (x) / (3x + 1)#?
• How do you differentiate #(2t +1)/(t + 3)#?
• How does the quotient rule differ from the product rule?
• How do you use the quotient rule to differentiate #y=(2x^4-3x)/(4x-1)#?
• How do you use the quotient rule to show that #1/f(x)# is decreasing given that f(x) is a positive increasing function defined for all x?
• How do you differentiate #((9y^2)(-2y^2))/(7y^4)#?
• How do you use the Quotient Rule to prove the Reciprocal Rule?
• How do you find dy/dx for #y= (2x)/(sqrt(x-1))#?
• How do you differentiate #y = ((2x+3)^4)/ x#?
• How do you find the derivative of #h(s)=((3s^2)-s+1)/s^2#?
• Do you use the quotient rule in the problem #(x/(1-x))^3#?
• How do you use the Quotient Rule to differentiate the function #f (t) = (cos (7t)) / t^5#?
• How do you use the quotient rule find the gradient of the function #y = (2x)/(sqrt(5x^2 -2x + 1))#?
• How do you know whether to use chain, product or quotient rule?
• How do you differentiate #y = (2x^4 - 3x) / (4x - 1)#?
• How do you use the Quotient Rule to differentiate the function #f(x)=(x)/(x^2+1)#?
• How do you find dy/dx using the quotient rule for #[e^(1/2x)]/(2x^3)#?
• How do you differentiate #e^x /lnx#?
• How do you find the derivative for #y=(3x)/(x+5)#?
• How do you find the derivative using the Quotient rule for #f(z)= (z^2+1)/(sqrtz)#?
• How do you differentiate #f(x) = (3 + 4x)/(1 + x^2)#?
• How do you find derivative of #f(x)=(x^2+4x+3)/(sqrtx)#?
• How do you find the derivative for #(x^4 + 3x^2)/(x^2)#?
• How do you differentiate #y= (5x)/((tanx)(cotx))#?
• How do you find the derivative of #1/([16x+3]^2)#?
• How do you differentiate #(z) = (sqrt16z) / ((17z - 5) ^(3/2))#?
• How do you differentiate #f(x) = (x^3-3x^2+4)/x^2#?
• How do you find the derivative for #y = [(x^2-3) / (x^2)]^4#? My answer was -8x(x^2-3)^3 / (x^2+3)^5 but the answer key says 48x(x^2-3)^3 / (x^2+3)^5?
• How do you find the derivative of #y=e^x/ln x#?
• How do you differentiate #(4x-3)/sqrt (2x^2+1)#?
• How do you differentiate #(2x)/(x+1)^2#?
• How do you differentiate #(x-3)/(2x+1)#?
• How do you differentiate #(t^2+2)/(6t-3)^7#?
• How do you differentiate #(3x-2)/(2x+1)^(1/2)#?
• How do you use the quotient rule to differentiate #3/(3x+3)#?
• How do you find the derivative for #f(x) = 1 / [root(3)(3 - x^3)]#?
• How do you differentiate #(e^x - e^(-x))/(e^x + e^(-x))#?
• How do you find the derivative for #sqrt(4x)/(x-1)#?
• How do you find the derivative of #x/(1+x^2)#?
• What is the derivative of #(cos x) / (1 + tan x)#?
• What is the derivative of #1/sqrt(1 - x^2)#?
• How do you differentiate #(sinx^2)/(tanx)#?
• How do you find the derivative of #f(y) = e^y /y#?
• How do you find the derivative of exponential function #f(x)= 2 / (e^x + e^-x)^3#?
• How do you differentiate #y = 2/(e^(x) + e^(-x))#?
• How do you determine the derivative of this exponential function #f(x) = sqrt (3^x) / x^2#?
• What is the derivative of #y = (e^(9x^5)*(1x^3+7)^24)/(3x^2+12x-17)^5#?
• How do you differentiate #f(x)=(2x)/(1-x)#?
• How do you differentiate #[(x^3-3x^2+4)/(x^2)]#?
• How do you find the derivative of #(sqrt(x+13))/((x-4)sqrt(2x+1))#?
• How do you find the derivative of #(sqrt(x^2-x+1)-1)/(1+ sqrtx)#?
• What is the derivative of #(6)/(x^3sqrtx)#?
• How do you find the derivative of quotient #(1-3x)/(1+3x)#?
• When you use the quotient rule to find the derivative of a function, does the denominator of the function have to have a variable or can it be a constant number?
• How do you differentiate #f(x) = [1 + sin(2x)]/[1 - sin(2x)]#?
• How do I find the derivative of #1/x# using the difference quotient?
• How do you find the derivative of #4x/(4+x^2)#?
• What is the derivative of #y= (x^2 + 2x + 5) / (x + 1)#?
• How do you find the derivative of #(t^1.7 + 8)/(t^1.4 + 6)#?
• How do you find the derivative of #y= ((e^x)/(x^2))#using the quotient rule?
• How do you find the derivative #1/(x^7 + 2)#?
• What is the derivative of #x/(x^2-9)#?
• What is the derivative of #sqrt(x)/(x^3+1)# using the quotient rule?
• How do you find the derivative of #y=(e^x)/(x^(1/2)# using the quotient rule?
• How do you find the derivative using quotient rule and chain rule for #1/sqrt(1-x^2)#?
• How do you find the derivative using quotient rule of #[x(3x+5)] / (1-x^2)#?
• How do you find the derivative using the quotient and chain rule of #f(x) = [(3x^2 + 1)^(1/3) - 5]^2 / [5x^2 + 4]^(1/2)#?
• How do you find the derivative of #y = (x^2+4x+3)/x^.5#?
• How do you find the derivative with a square root in the denominator #y= 5x/sqrt(x^2+9)#?
• How do you find the derivative (quotient rule) for #(x^2 + 8x + 3)/sqrtx#?
• How do you find the derivative of #(x-1)/(x^2)#?
• Is it possible to find the derivative of #3x/(x^2+4)# without using the quotient rule?
• How do you find the derivative of #[(2x^3) - (4x^2) + 3] / x^2 #?
• How do you find the derivative of #(e^(2*x)-e^(-2*x))/(e^(2*x)+e^(-2*x))#?
• How do you find the derivative using the difference quotient #f(x) = 5 / (x^2 + 7)#?
• How do you find the derivative of #f(x)= (2x^2-x+1)/(2x-1)# using the quotient rule?
• What is the derivative of #(1+cosx)/(1-cosx)#?
• How do you find the derivative of# sinx/(1+cosx)#?
• What is the derivative of #((sinx)^2)/(1-cosx)#?
• What is the derivative of #g(w)= 1/(2^w+e^w)#?
• What is the derivative of #f(x) = (x)/(sqrt(7-3x))#?
• What is the derivative of #cos(pi/x)/x^2 #?
• What is the derivative of #[e^x / (1 - e^x)]#?
• How do you find the derivative of #(x^2-2)/(x)#?
• How do you find the derivative of #(x^3-3x^2+4)/x^2#?
• How do you find the derivative of #1/(x^3-x^2)#?
• How do you find the derivative of #8/x^2#?
• How do you find the derivative of #y = (x+2)/(x-2) #?
• How do you find the derivative of #(X/(X^2+1))#?
• How do you find the derivative of #x/(x^2-4)#?
• How do you find the derivative of #1/(1+x^2)#?
• How do you find the derivative of #-4/x^2#?
• How do you find the derivative of #2/sqrtx#?
• How do you find the derivative of # 1/x^2#?
• How do you find the derivative of #2/(x+1)#?
• How do you find the derivative of #g(t) = (ln(kt)+2t) / (ln(kt)-2t)#?
• How do you find the derivative of #h(p) = (1+p^3) / (5p + (3p^2)#?
• How do you find the derivative of #z= ((e^(t^2))+t) / (sin(2t))#?
• How do you differentiate #sin(x)/(1-cos(x))#?
• How do you differentiate #(3+sin(x))/(3x+cos(x))#?
• What is the derivative of #(sinx + cosx) / (sinx - cosx)#?
• What is the derivative of #sinx / (x^2+sinx)#?
• What is the derivative of # y= 1/ (sinx+cosx)#?
• What is the derivative of #sinx/(x^3-2x)#?
• What is the derivative of #1/(x^3-x^2)#?
• What is the derivative of #F(x) = 1/(x-5)#?
• What is the derivative of #(x/(x^2+1))#?
• What is the derivative of #1/(x+1) #?
• What is the derivative of # -4/x^2#?
• What is the derivative of #1/sqrtx#?
• What is the derivative of #4/sqrtx#?
• How do you differentiate #(1 / (4-3t)) + ( (3t )/ ((4-3t)^2))#?
• How do you use the Quotient Rule to find the derivative of #f(x) = [1 + sin(2x)]/[1 - sin(2x)]#?
• How do you find the derivative for #(x^2 + 3) / x#?
• How do you find the derivative for #f(t)= sqrt(t) / (-4t-6)#?
• How do you find the derivative for #y = ((x-1)/( x+3)) ^ (1/3)#?
• How do you find the derivative for #(t^1.7 + 8)/( t^1.4 + 6)#?
• How do you find the derivative for #(5x-2)/(x^2+1)#?
• How do you find the derivative for #d/dx (2x+1)/(x^2-1)#?
• How do you find the derivative for #sqrt(x)/(x^3+1)#?
• How do you find the derivative for #y= cos(x)/x^8#?
• How do you find the derivative for #Y=(2x^7+3x)/(X^3-8)#?
• How do you find the derivative for #[e^(1/2x)]/(2x^3)#?
• How do you find the derivative for #f(x) = (3 + 4x) /( 1 + x^2)#?
• How do you find the derivative for #f(x) =x^6/(x-6)#?
• How do you find the derivative for #f(x) =(x + 9)/(x^2 + 6x + 1)#?
• How do you find the derivative for #f(x)=cotx/sinx#?
• How do you find the derivative for #y= ((e^x)/(x^2))#?
• How do you find the derivative for #f(x)=(18x)/(4+(x^2))#?
• How do you find the derivative for #f(x) = (x^1.7 + 2) / (x^2.8 + 1)#?
• How do you find the derivative for #y= [x(3x+5)] / (1-x^2)#?
• How do you find the derivative for #y= (2x) / (sqrt(x - 1))#?
• How do you find the derivative of #y= (x) / ((1- x^2) ^ (-1/2))#?
• How do you find the derivative of #y= 1 / (2 sin 2x)#?
• How do you find the derivative of #y= (sin^2(x)) / (1-cos(x))#?
• What is the quotient rule?
• How do you derive #y = (x-1)/( x+3) ^ (1/3)# using the quotient rule?
• How do you derive #y = (x-1)/( x+3) ^ (2)# using the quotient rule?
• How do you derive #y = (x-1)/sin(x)# using the quotient rule?
• How do you derive #y = 1/x# using the quotient rule?
• How do you derive #y = x^3+(3x)/e^(x^2)# using the quotient rule?
• How do you derive #y = (x^2+8x+3)/x^(1/2)# using the quotient rule?
• How do you derive #y = 1/(1-x^2)# using the quotient rule?
• How do you differentiate #y = -1/(1+x^2)# using the quotient rule?
• How do you derive #y = -1/(1+x^2)+1/x^2# using the quotient rule?
• How do you derive #y = (4x − 2) / (x^2 + 1)# using the quotient rule?
• How do you derive #y = (4x^4 − 2) / (-x^2 + 1)# using the quotient rule?
• How do you derive #y = (1 + sin(2x)]/[1 - sin(2x))# using the quotient rule?
• How do you derive #y = (sinx)/[1 - sin^2(x))# using the quotient rule?
• #f'(x)>0# for all x. Can you use the quotient rule to show that #1/f(x)# is monotonically decreasing?
• How do you differentiate #f(x)=x / cot (x) + 3# using the quotient rule?
• How do you differentiate #f(x)=tan(x)/ (cos^2(x)cot (x))# using the quotient rule?
• How do you differentiate #f(x)=(x^1.7+8)/(x^1.4+6)# using the quotient rule?
• How do you differentiate #f(x)=1/(16x+3)^2# using the quotient rule?
• How do you differentiate #f(x)=(3x^(1/2)-2)/ x# using the quotient rule?
• How do you differentiate #f(t)= sqrt(ln(t)) / (-4t-6)^2# using the quotient rule?
• How do you differentiate #f(x)=((18x)/(4+x^2))# using the quotient rule?
• How do you differentiate #f(x)=((18sin(x))/(4+x^(-2)))# using the quotient rule?
• How do you differentiate #f(x)=x^6/(x-6)# using the quotient rule?
• How do you differentiate #f(x)=x^6/e^(x-6)# using the quotient rule?
• How do you differentiate #f(x)=e^(x/2)/(2x^3)# using the quotient rule?
• How do you differentiate #f(x)=(x^2)/(e^(x^-3))# using the quotient rule?
• How do you find the first and second derivatives of #(3x-2)/(2x-5)# using the quotient rule?
• How do you find the first and second derivatives of #(3x-2)^2/(e^(2x)-5)# using the quotient rule?
• How do you find the first and second derivatives of #((3x^2-x+1)/(x^2))# using the quotient rule?
• How do you find the first and second derivatives of #(2x)/(sqrt(5x^2 -2x + 1))# using the quotient rule?
• How do you find #(df)/dy# and #(df)/dx# of #f(x,y)=(4x-2y)/(4x+2y)#, using the quotient rule?
• How do you find #(df)/dy# and #(df)/dx# of #f(x,y)=(3x^2-2e^y)/(2x+y)#, using the quotient rule?
• How do you find #(df)/dy# and #(df)/dx# of #f(x,y)=(3x^2-2e^-y)/(2e^x+y^-3)#, using the quotient rule?
• How do you find the first and second derivatives of #f(z)= (z^2+1)/(sqrt (z))# using the quotient rule?
• How do you find the first and second derivatives of #y = (x^2 + 3) / x# using the quotient rule?
• How do you find the first and second derivatives of #y = (x^2 + 3) / e^-x# using the quotient rule?
• How do you find the first and second derivatives of #y=(x^3+x)/(4x+1)# using the quotient rule?
• How do you find the first and second derivatives of #f(x)=(x)/(x^2+1)# using the quotient rule?
• How do you find the first and second derivatives of #f(x)= (e^x)/(ln(x)+1)# using the quotient rule?
• How do you find the first and second derivatives of #f(x)=cos(x)/x^8 # using the quotient rule?
• How do you find the first and second derivatives of #g(t)=(5+1/t)/(t^2+1/5) # using the quotient rule?
• How do you find the first and second derivatives of #f(x)=(x-1)/(x+1)# using the quotient rule?
• How do you find the first and second derivatives of #f(x)=-2/(x^2-2x)+(x+2)/(x-3)# using the quotient rule?
• How do you find the first and second derivatives of #y= (x^2 + 2x + 5) / (x + 1)# using the quotient rule?
• How do you find the first and second derivatives of #y= (6x^2+4)/ (2x+2)# using the quotient rule?
• How do you find the first and second derivatives of #y=(2x^4-3x)/(4x-1)# using the quotient rule?
• How do you differentiate #f(t)= sqrt(t) / (-4t-6)# using the quotient rule?
• How do you differentiate #f(x)= 1/ (lnx)# using the quotient rule?
• How do you differentiate #f(x)= x^2/ (lnx)# twice using the quotient rule?
• How do you differentiate #f(x)= cosx/ (sinx)# twice using the quotient rule?
• How do you differentiate #f(x)= tanx# twice using the quotient rule?
• How do you differentiate #f(x)= cscx# twice using the quotient rule?
• How do you differentiate #f(x)= (x^2+3x-6)/(2x-4)# twice using the quotient rule?
• How do you differentiate #f(x)=1/(x^7-2)# using the quotient rule?
• How do you differentiate #f(x)= (x-1)/(x+1)^3# using the quotient rule?
• How do you differentiate #f(x)=((3x+4)/(6x+7))^3# using the quotient rule?
• How do you differentiate #f(x)=(2x^2-x+1)/(2x-1)# using the quotient rule?
• How do you differentiate #f(x)=(12sqrt(x) + x^-4 + 5)/(x^(1/8))# using the quotient rule?
• How do you differentiate #f(x)=4/sqrt(x-2)# using the quotient rule?
• How do you differentiate #f(x)=(4x-3)/sqrt (2x^2+1) # using the quotient rule?
• How do you differentiate #f(x)=(2x^2-5)^3/(x^3+6x)^(4/3)# using the quotient rule?
• How do you differentiate #f(x)=(1-4x)/(1+4x)# using the quotient rule?
• How do you differentiate #f(x)=(x+3)^2/(x-1)# using the quotient rule?
• How do you differentiate #f(x)=x/(x-4)^2# using the quotient rule?
• How do you differentiate #f(x)=(4x)/(2x+3)^2# using the quotient rule?
• How do you differentiate #f(x)= (4x-4) / (4x+4)# using the quotient rule?
• How do you differentiate #f(x)= x/(4x-2)# using the quotient rule?
• How do you differentiate #f(x)=x/(2x-2)-2/(2x-2)# using the quotient rule?
• How do you differentiate #f(x)=(3x)/(x-2)-6/(x-2)# using the quotient rule?
• How do you differentiate #f(x)=tanx# using the quotient rule?
• How do you differentiate #f(x)=cotx# using the quotient rule?
• How do you differentiate #f(x)=secx# using the quotient rule?
• How do you differentiate #f(x)=cscx# using the quotient rule?
• How do you differentiate #f(x)=1/sqrt(x-3x^3+5x^5# using the quotient rule?
• How do you differentiate #f(x)=sinx/(x-3)^3# using the quotient rule?
• How do you differentiate #f(x)=cosx/tanx# using the quotient rule?
• How do you differentiate #f(x)=cosx/arctanx# using the quotient rule?
• How do you differentiate #f(x)=x/sinx# using the quotient rule?
• How do you differentiate #f(x)=x/(1-sinx)# using the quotient rule?
• How do you differentiate #f(x)=x/(x^2-1-sinx)# using the quotient rule?
• How do you differentiate #f(x)=x/(x^2(1-sinx+cosx))# using the quotient rule?
• How do you differentiate #f(x)=[(3x^2 + 1)^(1/3) - 5]^2 / [5x^2 + 4]^(1/2)# using the quotient rule?
• How do you differentiate #f(x)=5/(3x^2 + 1)^(1/3) - 5x^2# using the quotient rule?
• How do you differentiate #f(x)=(x-5)/(x-3)^2# using the quotient rule?
• How do you differentiate #f(x)=(x-2)/sinx-cosx/(4-x)# using the quotient rule?
• How do you differentiate #f(x)=(xtanx)/(x^2-x+3)# using the quotient rule?
• How do you differentiate #f(x)=(x+cosx)/(x^2+3)# using the quotient rule?
• How do you differentiate #f(x)=(x-sinx)/(x-1)# using the quotient rule?
• How do you differentiate #f(x)=(x-xsinx+1)/(x^2-3x)# using the quotient rule?
• How do you differentiate #f(x)=(x^2-2x+8)/sinx-1/x# using the quotient rule?
• How do you differentiate #f(x)=(x-sinx)/(x^2cosx)# using the quotient rule?
• How do you differentiate #f(x)=(x-sinx)/(x^2-tanx)# using the quotient rule?
• How do you differentiate #f(x)=(x^2sinx)/(x^2cosx-sin^2x)# using the quotient rule?
• How do you differentiate #f(x)=(xsin2x)/(x^2cos^2x-tanx)# using the quotient rule?
• How do you differentiate #f(x)=(x^2-cosx/x)/sinx# using the quotient rule?
• How do you differentiate #f(x)=(cosx-x)/(sin3x-x^2)# using the quotient rule?
• How do you differentiate #f(x)=lnx/sinx# using the quotient rule?
• How do you differentiate #f(x)=ln(sinx)/cosx# using the quotient rule?
• How do you differentiate #f(x)=1/ln(sinx)# using the quotient rule?
• How do you differentiate #f(x)=x^2/ln(tanx)# using the quotient rule?
• How do you differentiate #f(x)=sinx/ln(cotx)# using the quotient rule?
• How do you differentiate #f(x)=x/cotx# using the quotient rule?
• How do you differentiate #f(x)=e^x/sinx-cosx/e^x# using the quotient rule?
• How do you differentiate #f(x)=x/e^x-1/x# using the quotient rule?
• How do you differentiate #f(x)=e^x/x-3x# using the quotient rule?
• How do you differentiate #f(x)=(x^2+e^x)/(x-1)^2# using the quotient rule?
• How do you differentiate #f(x)=(x-x^2sinx)/tanx# using the quotient rule?
• How do you differentiate #x^2 + 8x + 3 / sqrtx# using the quotient rule?
• How do you differentiate #(x^2 + 8x + 3 )/ sqrtx# using the quotient rule?
• How do you differentiate #(x^2 + x + 3 )/ sqrt(x-3)# using the quotient rule?
• How do you differentiate #(x^2 -6x + 9 )/ sqrt(x-3)# using the quotient rule?
• How do you differentiate #(4x^2 -6x + 9 )/ (2x-3)# using the quotient rule?
• How do you differentiate #(3x^2 -5x )/ (2x-1)# using the quotient rule?
• How do you differentiate #(-x^2 -5x-4 )/ (2x^2-1)# using the quotient rule?
• How do you differentiate #(-x^2 -5x-4 )/ (sinx)# using the quotient rule?
• How do you differentiate #(-2x^2 -5x-4 )/ (cos2x)# using the quotient rule?
• How do you differentiate #(ln(2x) )/ (cos2x)# using the quotient rule?
• How do you differentiate #(x^3-x+3 )/ (cos^2x)# using the quotient rule?
• How do you differentiate #(xcosx)/ (sinx+x)# using the quotient rule?
• How do you differentiate #(x-cosx)/ (sinx+x)# using the quotient rule?
• How do you differentiate #(1)/ (x^2cosx)# using the quotient rule?
• How do you differentiate #(x)/ (1-cosx)# using the quotient rule?
• How do you differentiate #e^x/(x-1)# using the quotient rule?
• How do you differentiate #f(t)= sqrt(t/2+3) / (-2t-6)# using the quotient rule?
• How do you differentiate #f(x)= x/sqrt(1-x^2) # using the quotient rule?
• How do you differentiate #f(x)= (1 + sin^2x)/(1 - sin2x) # using the quotient rule?
• How do you differentiate #f(x)= (1 - sin^2x)/(1 - sinx)^2 # using the quotient rule?
• How do you differentiate #f(x)= (1 - sin^2x)/cosx # using the quotient rule?
• How do you differentiate #f(x)= (1 - sin^2x)/(x-cosx) # using the quotient rule?
• How do you differentiate #f(x)= (1 - sin^2x)/(cosx-1) # using the quotient rule?
• How do you differentiate #f(x)= (x-1)/( x+3) ^ (1/3 # using the quotient rule?
• How do you differentiate #f(x)= (x^3-1)/( x^2+3x) ^ (3/2) # using the quotient rule?
• How do you differentiate #f(x)= (x-e^(x))/(2-3x)# using the quotient rule?
• How do you differentiate #f(x)= (x-e^(x))/(e^x-3x)# using the quotient rule?
• How do you differentiate #f(x)=1/(16x+3)^2# using the quotient rule?
• How do you differentiate #f(x)=x/(x+3)^2# using the quotient rule?
• How do you differentiate #f(x)=(x-3)/(x+3)^2# using the quotient rule?
• How do you differentiate #f(x)=(x^2-2x)/(x+3)^2# using the quotient rule?
• How do you differentiate #f(x)=e^x/x# using the quotient rule?
• How do you differentiate #f(x)=e^x/(1-x^2)# using the quotient rule?
• How do you differentiate #f(x)=e^(x^2)/(e^x-x^2)# using the quotient rule?
• How do you differentiate #f(x)=e^(x^2)/(e^(2x)-2x)# using the quotient rule?
• How do you find the derivative #f(x)=1/x^2#?
• How do you find the derivative of the function # (3x-2)/(2x+1)^(1/2)#?
• How do you find the derivative of #y=( (2x^3)*(e^(sinx))*(2^(cosx)) ) / (tanx-3^x)#?
• How do you find the derivative of #(x-3)/(2x+1)#?
• How do you find the derivative of #1/(x-5)#?
• How do you find the derivative of #n(t) = 150 - 600/root3(16+3t^2)#?
• How do you find the derivative of #3/(3x+3)#?
• How do you find the derivative of #x/(1+x^2)#?
• How do you find the derivative of #y = (x ln(x)) / sin(x)#?
• What is the derivative of # 9e^x/x#?
• What is the derivative of #1/(x+1)#?
• What is the derivative of #x + 1/x#?
• How do you differentiate #y = (x) / (x+1)#?
• How do you differentiate #y = x / (x^2 + 3 )#?
• How do you differentiate #y = (3x - 5) / (3x^2 + 7)#?
• How do you find the derivative of # sqrt(x)/(x^3+1)#?
• How do you find the derivative of #(x-1)/(x+1)#?
• How do you find the derivative of #h(x) = (x^(1/3)) / (x^2+1)#?
• How do you find the derivative of #sqrt(x-3)/sqrt(x+3)#?
• How do you find the derivative of # f(x)=((18x)/(4+(x^2)))#?
• How do you find the derivative of # [e^(1/2x)]/(2x^3)#?
• How do you find the derivative of #y= (2x)/ sqrt(x - 1)#?
• How do you find the derivative of #((t^(2)+1)/(t^(2)-1))#?
• How do you find the derivative of #y= ((e^x)/(x^2)) #?
• How do you find the derivative of #y=(9x^2+1)/(x^2+7)#?
• How do you find the derivative of #(x)=(x)/(x^2+1)#?
• How do you find the derivative of #lnx/cscx#?
• How do you find the derivative of #1/sqrt(1-x^2)#?
• How do you find the derivative of #y=(x^3+x)/(4x+1)#?
• How do you find the derivative of #f(z)= (z^2+1)/(sqrt z)#?
• How do you find the derivative of #f(x) = (x^2-4)/(x-2) #?
• How do you find the derivative of #y= cos(x)/x^8#?
• How do you find the derivative of #y= (x^2 + 2x + 5) / (x + 1)#?
• How do you find the derivative of #y = (2x^4 - 3x) / (4x - 1)#?
• How do you find the derivative of #y = (2x+3)^4 / x#?
• How do you differentiate #f(x) = 5/(x-7)# using the quotient rule?
• How do you differentiate #f(x) = 5/(x^3+4)# using the quotient rule?
• How do you differentiate #f(x) = 1/(x^3-4x)# using the quotient rule?
• How do you differentiate #f(x) = 1/(x^3-x)# using the quotient rule?
• How do you differentiate #f(x) = (sinx)/(x^3-x)# using the quotient rule?
• How do you differentiate #f(x) = (sinx)/(x-e^x)# using the quotient rule?
• How do you differentiate #f(x) = (e^x-1)/(x-e^x)# using the quotient rule?
• How do you differentiate #f(x) = (e^x-x)/(2-e^x)# using the quotient rule?
• How do you differentiate #f(x) = (e^x-4x)/(2x-e^x)# using the quotient rule?
• How do you differentiate #f(x) = (e^x-4x)/(1-xe^x)# using the quotient rule?
• How do you differentiate #f(x) = (sinx)/(1-xe^x)# using the quotient rule?
• How do you differentiate #f(x) = (sinx)/(1-cosx)# using the quotient rule?
• How do you differentiate #f(x) = (sinx)/(sinx-cosx)# using the quotient rule?
• How do you differentiate #f(x) = (cosx)/(sinx-cosx)# using the quotient rule?
• How do you differentiate #f(x) = (cosx)/(sinx)# using the quotient rule?
• How do you differentiate #f(x) = (x)/(x^4-x^3+6)# using the quotient rule?
• How do you differentiate #f(x) = (x)/(x^2-x+6)# using the quotient rule?
• How do you differentiate #f(x) = (5x)/(3x^2-4x+6)# using the quotient rule?
• How do you differentiate #f(x) = (5x)/(3x^2-x+1)# using the quotient rule?
• How do you differentiate #f(x) = (-x)/(-x^2-x+1)# using the quotient rule?
• How do you differentiate #f(x) = (sqrtx)/(-x^2-2x+1)# using the quotient rule?
• How do you differentiate #f(x) = (sqrt(x-5))/(-x^2-2x+1)# using the quotient rule?
• How do you differentiate #f(x) = x^3/sinx# using the quotient rule?
• How do you differentiate #f(x) = x^3/(xsinx-3)# using the quotient rule?
• How do you differentiate #f(x) = x^3/(xcosx-2)# using the quotient rule?
• How do you differentiate #f(x) = x^3/(xtanx-2)# using the quotient rule?
• How do you differentiate #f(x) = x^3/(xcotx+1)# using the quotient rule?
• How do you differentiate #f(x) = (x^2-4x)/(xcotx+1)# using the quotient rule?
• How do you differentiate #f(x) = (x^2-4x)/(x+1)# using the quotient rule?
• How do you differentiate #f(x) = (x^2-4x)/(e^x+1)# using the quotient rule?
• How do you differentiate #f(x) = (sinx)/(e^x+x)# using the quotient rule?
• How do you differentiate #f(x) = (sinx)/(e^(x-2)+x)# using the quotient rule?
• How do you differentiate #f(x) = (cos^2x)/(e^(x-2)+x)# using the quotient rule?
• How do you differentiate #f(x) = (cos2x)/(e^(2x)-x)# using the quotient rule?
• How do you differentiate #f(x) = (cos2x)/(e^(2x)+4x)# using the quotient rule?
• How do you differentiate #f(x) = (tan(x-7))/(e^(2x)-4)# using the quotient rule?
• How do you differentiate #f(x) = (tan(3x-2))/(e^(1-x)-1)# using the quotient rule?
• How do you differentiate #f(x) = (e^(4-x))/(e^(1-x)-1)# using the quotient rule?
• How do you differentiate #f(x) =1/(e^(3x)-2)# using the quotient rule?
• How do you differentiate #f(x) =1/(e^(3x)+1)# using the quotient rule?
• How do you differentiate #f(x) =1/(e^(3-x)+1)# using the quotient rule?
• How do you differentiate #f(x) =x/(e^(3-x)+x^3)# using the quotient rule?
• How do you differentiate #f(x) =x^2/(e^(3-x)+2)# using the quotient rule?
• How do you differentiate #f(x) =x^2/(xe^(1-x)+2)# using the quotient rule?
• How do you differentiate #f(x) =x^2/(e^(x)-1)# using the quotient rule?
• How do you differentiate #f(x) =x/(x^3-e^(x)-1)# using the quotient rule?
• How do you differentiate #f(x) =(1-x)/(x^3-x)# using the quotient rule?
• How do you differentiate #f(x) =(1-x)/(x^3-6)# using the quotient rule?
• How do you differentiate #f(x) =(1-x)/(x^2-2)# using the quotient rule?
• How do you differentiate #f(x) =(1-5x)/(2x^2+7)# using the quotient rule?
• How do you differentiate #f(x) =(1+2x)/(-x^2+1)# using the quotient rule?
• How do you differentiate #f(x)= 1/(e^(3x) -x)# using the quotient rule?
• How do you differentiate #f(x)= 1/(e^(3x) -5x)# using the quotient rule?
• How do you differentiate #f(x)= e^x/(e^(3x) -5x)# using the quotient rule?
• How do you differentiate #f(x)= e^x/(e^(-x) -2)# using the quotient rule?
• How do you differentiate #f(x)= e^x/(e^(-x) -x )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(e^(3-x) -x )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(e^(3-x) -8 )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(e^(3-x) +2x )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(e^(x^2) +2x )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(e^(x-2) +2x )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(e^(x-2) -4 )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(e^(x) -4 )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(xe^(x) -4 )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(xe^(x) -x )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(2e^(2x) -x )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(x-7 )# using the quotient rule?
• How do you differentiate #f(x)= e^x/(x-3 )# using the quotient rule?
• How do you differentiate #f(x)= x/(x-3 )# using the quotient rule?
• How do you differentiate #f(x)= x/(x^3-4x )# using the quotient rule?
• How do you differentiate #f(x)= x/(x^3-4 )# using the quotient rule?
• How do you differentiate #f(x)= -1 / (x^3-4 )# using the quotient rule?
• How do you differentiate #f(x)= -1 / (-2x-4 )# using the quotient rule?
• How do you differentiate #f(x)= -1 / (2x-7 )# using the quotient rule?
• How do you differentiate #f(x)= (x+5)/ (2x-7 )# using the quotient rule?
• How do you differentiate #f(x)= (x+5)/ (2x-7 )# using the quotient rule?
• How do you differentiate #f(x)= (x+5)/ (x- 7 )# using the quotient rule?
• How do you differentiate #f(x)= (x+2)/ (x- 7 )# using the quotient rule?
• How do you differentiate #f(x)= (x^2-x+2)/ (x- 7 )# using the quotient rule?
• How do you differentiate #f(x)= (x^2-x+2)/ (x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (x^2-5x+2)/ (x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (x^2-5x+2)/ (6x+1 )# using the quotient rule?
• How do you differentiate #f(x)= (3x^2-5x+2)/ (x+1 )# using the quotient rule?
• How do you differentiate #f(x)= (3x^2+4x+2)/ (3x +1 )# using the quotient rule?
• How do you differentiate #f(x)= (3x^2-4 )/ (3x +1 )# using the quotient rule?
• How do you differentiate #f(x)= (3x^2-4 )/ (7x +1 )# using the quotient rule?
• How do you differentiate #f(x)= (3x^2-4 )/ (2x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (3x^2 + 5x -8 )/ (2x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (4 x^2 + 5x -8 )/ (x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (4 x^2 + 5x -3 )/ (x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (4 x^2 + 2x -3 )/ (x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (7 x^2 + 2x -3 )/ (x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (7 x^2 + 2x - 6 )/ (x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (7 x^2 + 3 x - 6 )/ (x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (6 x^2 + 3 x - 6 )/ (x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (6 x^2 - x - 6 )/ (x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (2 x^2 - x - 6 )/ (x- 1 )# using the quotient rule?
• How do you differentiate #f(x)= (2 x^2 - x - 6 )/ (x- 5 )# using the quotient rule?
• How do you differentiate #f(x)= (2 x^2 - x - 6 )/ (x sinx )# using the quotient rule?
• How do you differentiate #f(x)= (2 x^2 + 7 x - 6 )/ (x sinx )# using the quotient rule?
• How do you differentiate #f(x)= (2 x^2 + 7 x - 2)/ (x sinx )# using the quotient rule?
• How do you differentiate #f(x)= (2 x^2 + 7 x - 2)/ (x cos x )# using the quotient rule?
• How do you differentiate #f(x)= (2 x^2 + 7 x - 2)/ (x - cos x )# using the quotient rule?
• How do you differentiate #f(x)= ( x^2 + 7 x - 2)/ (x - cos x )# using the quotient rule?
• How do you differentiate #f(x)= ( x^2 + 7 x - 2)/ ( cos x )# using the quotient rule?
• How do you differentiate #f(x)= ( x - 2)/ ( cos x )# using the quotient rule?
• How do you differentiate #f(x)= ( x - 2)/ ( sin x )# using the quotient rule?
• How do you differentiate #f(x)= ( x + 1 )/ ( sin x )# using the quotient rule?
• How do you differentiate #f(x)= ( x + 1 )/ ( tan x )# using the quotient rule?
• How do you differentiate #f(x)= ( x + 1 )/ ( xcot x )# using the quotient rule?
• How do you differentiate #f(x)= ( x + 1 )/ ( cot 3x )# using the quotient rule?
• How do you differentiate #f(x)= ( x + 1 )/ ( secx )# using the quotient rule?
• How do you differentiate #f(x)= ( x + 1 )/ ( csc x )# using the quotient rule?
• How do you differentiate #f(x)= ( x + 1 )/ ( x - csc x )# using the quotient rule?
• How do you differentiate #f(x)= ( x + 1 )/ ( x - 4csc x )# using the quotient rule?
• How do you differentiate #f(x)= ( x + 1 )/ ( x - 6)# using the quotient rule?
• How do you differentiate #f(x)= ( x sinx )/ ( x - 6)# using the quotient rule?
• How do you differentiate #f(x)= ( x +2sinx )/ ( x - 6)# using the quotient rule?
• How do you differentiate #f(x)= ( x +2sinx )/ (x + 4 )# using the quotient rule?
• How do you differentiate #f(x)= ( x tanx )/ (x + 4 )# using the quotient rule?
• How do you differentiate #f(x)= ( x - tanx )/ (x + 4 )# using the quotient rule?
• How do you differentiate #f(x)= ( x - x tanx )/ (x -3) # using the quotient rule?
• How do you differentiate #f(x)= ( 3+ x tanx )/ (x -3) # using the quotient rule?
• How do you differentiate #f(x)= ( 2 - xsecx )/ (x -3) # using the quotient rule?
• How do you differentiate #f(x)= ( x - 3 secx )/ (x -3) # using the quotient rule?
• How do you differentiate #f(x)= ( 4- 3 secx )/ (x -3) # using the quotient rule?
• How do you differentiate #f(x)= ( 4- 3 secx )/ (3x + 1) # using the quotient rule?
• How do you differentiate #f(x)= ( 4- secx )/ (x + 1) # using the quotient rule?
• How do you differentiate #f(x)= ( 4- cscx )/ (e^x + 2) # using the quotient rule?
• How do you differentiate #f(x)= ( 4- x )/ (e^x + 2) # using the quotient rule?
• How do you differentiate #f(x)= ( x^2-3x-6 )/ (e^x + 2) # using the quotient rule?
• How do you differentiate #f(x)= ( x^2-3x-6 )/ (e^x + 3x ) # using the quotient rule?
• How do you differentiate #f(x)= ( x^2+ x -12)/ (e^x + 3x ) # using the quotient rule?
• How do you differentiate #f(x)= ( 13x^2+ 3x ) / ( 4e^x + 2 ) # using the quotient rule?
• How do you differentiate #f(x)= ( -2x^2+ 3x ) / ( 4e^x + 2 ) # using the quotient rule?
• How do you differentiate #f(x)= ( -2x^2+ 3x ) / ( - e^x + 2 ) # using the quotient rule?
• How do you find the derivative of #[(2x^3) - (4x^2) + 3] / x^2 #?
• How do you find the derivative of #y = ((x^5)/6) + (1/(10x^3)) #?
• How do you find the derivative of #32/x#?
• How do you find the derivative of #(x^2-4)/(x-1)#?
• How do you find the derivative of #f(x)= 2/x#?
• How do you find the derivative of #(x+2)/(x+3)#?
• How do you find the derivative of # (x^2-3x+5)/x#?
• How do you find the derivative of #x^2/5#?
• How do you find the derivative of #x/2#?
• How do you find the derivative of #g(t) = 1/sqrt(t)#?
• How do you find the derivative of # -2- (1/(x^2)) + (4/(x^4))#?
• How do you find the derivative of # (3x^2 + 3x + 4) / sqrt(x)#?
• How do you find the derivative of #sqrt(1/x^3)#?
• How do you find the derivative of #f(x)=3sqrt(x)-(2/sqrt(x))#?
• How do you find the derivative of #y(x)= 6/(x-8)#?
• How do you find the derivative of #y(x)= (9x)/(x-3)^2#?
• How do you find the derivative of #5/((x^2) + x + 1)^2#?
• How do you find the derivative of #f(x)= (x^2-1)/x#?
• How do you find the derivative of #f(x)= 2/(x+1)^2#?
• How do you find the derivative of #f(x) = [(3x^2 + 1)^(1/3) - 5]^2 / [5x^2 + 4]^(1/2)#?
• How do you find the derivative of # y=5/(x-3)^2#?
• How do you find the derivative of #(2x^2 +x - 3)/x#?
• How do you find the derivative of #f(x) = (x^2-4)/(x-1)#?
• How do you find the derivative of #(x+4)/x#?
• How do you find the derivative of #x^2/100#?
• How do you find the derivative of #f(x) = 2/(x-1) - 1/(x+2) #?
• How do you use the quotient rule to differentiate #f(x)=(x)/(x2+1)#?
• How do you use the quotient rule to differentiate #y=1/(x-4)^2#?
• How do you use the quotient rule to differentiate #y=(x+3)^2/(x-1)#?
• How do you use the quotient rule to differentiate #y= (x^2+4x)/(x+2)^2#?
• How do you use the quotient rule to differentiate #(4x − 2) / (x^2 + 1)#?
• How do you use the quotient rule to differentiate #x^6/(x-6)#?
• How do you use the quotient rule to differentiate #y=(x^3+x)/(4x+1) #?
• How do you use the quotient rule to differentiate #1 / (1 + x²)#?
• How do you use the quotient rule to differentiate #csc(t)/tan(t) #?
• How do you use the quotient rule to differentiate #f(x)= (2x^2-x+1)/(2x-1)#?
• How do you use the quotient rule to differentiate #f(x)= (-4x)/ (x^2 - 1) ^2#?
• How do you use the quotient rule to differentiate #x / (1-x^2)^(1/2)#?
• How do you use the quotient rule to differentiate # (x) / sqrt (1-x^2)#?
• How do you use the quotient rule to differentiate #y =((3t+4)/(6t+7))^3#?
• How do you use the quotient rule to differentiate #(2x+1)/(x^2-1)#?
• How do you use the quotient rule to differentiate # f(x)= 4/(x-2)#?
• How do you use the quotient rule to differentiate #f(x) = (x^1.7 + 2) / (x^2.8 + 1)#?
• How do you use the quotient rule to differentiate #x/ sqrt (x^2 + 1)#?
• How do you use the quotien rule to differentiate #(3x^2+4) / sqrt(1+x^2)#?
• How do you use the quotien rule to differentiate #1/ (3x^2+2)^3#?
• How do you use the quotient rule to differentiate #(2lnx^3) / sqrt(2-x^2)#?
• How do you use the quotient rule to differentiate #(1+3x)^2 / (1+sqrtx)^2#?
• What is the derivative of #y=1/(4-x^2) #?
• What is the derivative of #1/(x+1)#?
• What is the derivative of #x + 1/x#?
• What is the derivative of #-2/(2x-4)^2#?
• What is the derivative of #(x^(2/3 ))(8-x)#?
• What is the derivative of #-4/x^2#?
• What is the derivative of # f(x)=(x^3)/(9 (3lnx-1))#?
• What is the derivative of #3^x#?
• How do you find the derivative of #f(x)=(2x+6)/(3x^2+9)#?
• How do you find the derivative of #y=1/x^2#?
• How do you find the derivative of #(x-3) /( 2x+1)#?
• How do you find the derivative of #F(x) = 1/(x-5)#?
• How do you find the derivative of #x/(1+x^2)#?
• How do you find the derivative of #f(x)= x/(x-1)#?
• How do you find the derivative of #f(x) = 3/(x-2)#?
• How do you find the derivative of # y = (x ln(x)) / sin(x)#?
• What is the derivative of #(x^2-2)/(x)#?
• What is the derivative of #(x^3-3x^2+4)/x^2#?
• What is the derivative of #(-x^2+5)/(x^2+5)^2#?
• What is the derivative of #(x^2 - 4x)/(x-2)^2#?
• What is the derivative of #y=(x^2 - 1) /( x+1)#?
• What is the derivative of #(X/(X^2+1))#?
• What is the second derivative of #x/(x^2-4)#?
• What is the second derivative of #y = lnx^2#?
• What is the second derivative of #1/(1+x^2)#?
• What is the second derivative of #(x^2-1)^3/(x^2+1)#?
• How do you find the derivative of #f(x)=(x+3)/(x-3)#?
• How do you find the derivative of #f(x)=(3+x)/(1-3x)#?
• Question #10b4c
• How do you find the derivative of #F(x)= (2x^3-1)/x^2#?
• How do you find the derivative of # 2/(5x+1)^2#?
• How do you find the derivative of #(e^x - e^x)/( e^x + e^x)#?
• How do you find the derivative of #(2sqrtx - 1)/(2sqrtx)#?
• How do you find the derivative of #(ln * e^x)/(e^x-1)#?
• How do you find the derivative of #f(x)= (e^(x)-6)/(3x)#?
• How do you find the derivative of #(x^2-2)/x#?
• How do you find the derivative of #F(x)= (x+1)/(x-1)#?
• How do you find the derivative of #(2x+8)/(x-8)#?
• How do you find the derivative of #Y= (e^x-e^-x)/(e^x+e^-x)#?
• How do you find the derivative of #f(x)= 4sinx+4x^x#?
• How do you find the first and second derivative of #(x^3-3x^2+8x+18)/x#?
• What is the first derivative and critical numbers of #y= (x^4)/(x^4-1)#?
• What is the first derivative and second derivative of #(2x^2)/(x^2-1)#?
• What is the first and second derivative of #(10x*(x-1)^4)/((x-2)^3*(x+1)^2) #?
• Let #f(x) = x / (x^2+1)#, how do you use the first derivative test to determine which critical numbers, if any give relative extrema?
• How to differentiating using quotient rule?
• Question #b4e1c
• If Y=(4x)/x+1 what is Y?
• What is the derivative of #( cos (x) ) / ( 2 + sin (x) )#?
• How do you differentiate given #y = (x^2 tan x) / (sec x)#?
• How do you differentiate given #y = 2x (x^(1/2) - cot x)#?
• How do you differentiate # f(x)= (x^2 + 2x )/( x^2 -4)#?
• How do you differentiate #(15X^3 + 10X) / sqrt(X^2 + 1)#?
• How do you differentiate #y=(x+3)^2/(x-1)#?
• How do you differentiate #f(x)=(2x)/(x^2+1)#?
• How do you differentiate #f(x)= (x-1)/(x+1)#?
• How do you differentiate #y=4/cosx#?
• How do you differentiate # (4x − 2) / (x^2 + 1)#?
• How do you differentiate #(x-1)/sqrt(6-x)#?
• How do you differentiate # (xsinx)/(x^2+1)#?
• How do you differentiate #y = a / (x - 1) #?
• How do you differentiate #f(x)= (x) / (csc(x)+8)#?
• How do you differentiate #f(x) = (-11x) / (sin(x)+cos(x))#?
• How do you differentiate #f(x)=4sqrt((x^2+1)/(x^2-1))#?
• How do you differentiate #y= ((x+3)(x^2+1)^3(x+1)^2)/(x^2+10)^(1/2)#?
• How do you differentiate #y= sqrt(x/(x-9))#?
• How do you differentiate #y=sqrt(x)/(1+sqrt(x))#?
• How do you differentiate #y= (sqrt(x)+x) / x^2#?
• How do you differentiate #y=sqrt[(x^2-1)/(x^2+1)]#?
• How do you differentiate #y=sqrt ((x-1)/(x+1))#?
• How do you differentiate # -(2/(3x)) #?
• How do you differentiate #y=e^x/(1+x) #?
• How do you differentiate #y=sqrt(x + 1)/root3( x^4) #?
• How do you differentiate #1/(1+x^2)#?
• What is the derivative of -5/x?
• What is the derivative of #5 / x^4#?
• What is the derivative of #(-x^2+5)/(x^2+5)^2#?
• What is the derivative of #5/x^7#?
• What is the derivative of #5/(x^2+1)#?
• What is the derivative of #5/sqrtx#?
• What is the derivative of #5/x^2#?
• What is the derivative of #5/x^3#?
• What is the derivative of # f(x) = (x^3-3)/x#?
• What is the derivative of #(1-x^2)/(x^3)#?
• What is the derivative of # x^2/(x^2 +3)#?
• What is the derivative of #1/(x-3)#?
• What is the derivative of #(x^2-1)^3/(x^2+1)#?
• How do you find the derivative of #y = (lnx)/(ln3)#?
• How do you find the derivative of #(x^2-4)/(x-1)#?
• How do you find the derivative of # f(x)= 2/x#?
• How do you find the derivative of #(3x^4+2x^2+1)/(2x^2-5x+3)+1 #?
• How do you find the derivative of #y= ln (x/(x-1))#?
• How do you find the derivative of #x^2/4#?
• How do you find the derivative of #sqrt(1/x^3)#?
• How do you find the derivative of #f(x)= (x^2-1)/x#?
• How do you find the derivative of #f(x)= 2/(x+1)^2#?
• How do you find the derivative of #5/((x^2) + x + 1)^2#?
• How do you find the derivative of #f(x)=2/(3x^3-x^2-24x-4)#?
• How do you find the derivative of #y=5/(x-3)^2#?
• How do you find the derivative of #(2x^2 +x - 3)/x#?
• How do you find the derivative of #3/(x+1 )#?
• How do you differentiate #x / (x^2 + 1)^(1/2)#?
• How do you differentiate #(x+1)/(x-1)#?
• What is the derivative of #(x^2+3)/x#?
• Let #f(x)=( lne^2x)/x-1# for x>1. If g is the inverse of f, then what is g'(3)?
• How do you differentiate #y= 6/x#?
• How do you differentiate #y= root3(x)#?
• How do you differentiate # y = (5x^2) / (4x-1)#?
• What is the derivative of #(2ln(x+3))/x^2#?
• What is the derivative of #ln(x)/sin(2x)#?
• What is the derivative of #Ln(x)/(1+ln(2x))#?
• How do you differentiate #f(x)=1/(x-1)#?
• How do you differentiate #f(x)=sqrt(x+1)#?
• How do you differentiate #g(t)= 7/sqrt(t)#?
• How do you differentiate # g(x)= (2x)/(x-1)#?
• How do you differentiate #f(x)= x/(x^2+1)#?
• How do you differentiate #y=(8x^3-6x^2-4)/(2x^2)#?
• How do you differentiate #f(x)= 1/(x-2)#?
• How do you find the derivative of #f(x) = (x^3-3x^2+4)/x^2#?
• How do you find the derivative of #h(x) = (2x^2-3x+1)/x#?
• Question #6bed4
• How do you find the derivative of # f(x)= 2/(1+x^2) #?
• How do you find the derivative of #f(x)=(2-4e^(2x))^3 #?
• How do you find the derivative of #y= (x+1) / (x-1)#?
• How do you find the derivative of #6/(x^2 + 3)#?
• How do you find the derivative of #f(x)= 2/x#?
• How do you find the derivative of #1/(x^2) - 1/x#?
• How do you find the derivative of #f(x)= -x/(x-1)#?
• How do you find the derivative of # f(x)= (x+1)/sqrtx#?
• How do you find the derivative of #y=(x^2 - 1) /( x+1)#?
• How do you find the derivative of # f(x)=(1/x^2)#?
• How do you find the derivative of #[e^x / (1 - e^x)]#?
• How do you find the derivative of # x/2#?
• How do you find the derivative of #(x/(x^2+1))#?
• How do you find the derivative of #1/(1+x^2)#?
• How do you find the derivative of #x/(x+1)#?
• How do you find the derivative of #1/(2x)#?
• How do you find the derivative of #f(x)= 1/(x-7) #?
• How do you find the derivative of #f(x) = 1/sqrtx#?
• How do you find the derivative of #1/x^4#?
• How do you find the derivative of #1/x^8#?
• What is the derivative of #x/(1+x^2)#?
• What is the derivative of # x/(x^2+1)#?
• What is the derivative of #(x)/sqrt(x^2-4)#?
• What is the derivative of #f(x) = (3x+4)/( x^2)#?
• What is the derivative of #(4-x)/x^(1/3)(6-x)^(2/3)#?
• What is the derivative of #4 / (x+3)#?
• What is the derivative of #1/(1+x^4)#?
• How do you differentiate #(x+1)/2#?
• How do you differentiate #(sinx+sinxcosx)/x#?
• How do you differentiate #x^2/(sqrt(x+2))-sqrt(x+2)/x^2#?
• How do you differentiate #h(y)=1/(y^3+2y+1)# using the quotient rule?
• How do you differentiate #y=1/(x+sqrtx)# using the chain or quotient rule?
• How do you differentiate #g(z)=(z^2+1)/(x^3-5)# using the quotient rule?
• How do you differentiate #y=sqrtx/(x^3+1)# using the quotient rule?
• How do you differentiate #z=t^2/((t-4)(2-t^3))# using the quotient rule?
• How do you differentiate #h(x)=((x^3+1)sqrtx)/x^2# using the quotient rule?
• How do you differentiate #y(m)=(e^mroot3(m))/(m^2+3)# using the quotient rule?
• How do you differentiate #f(x)=(5x-2)/(x^2+1)# using the quotient rule?
• How do you differentiate #g(x)=(3-1/x)/(x+5)# using the quotient rule?
• How do you differentiate #h(x)=(1-cosx)/sinx# using the quotient rule?
• How do you differentiate #f(x)=(x+1)/(x-1)# using the quotient rule?
• How do you differentiate #f(x)=(x+1)/sqrtx# using the quotient rule?
• How do you differentiate #f(x)=(2x+3)/6# using the quotient rule?
• How do you differentiate #f(x)=(x^2-2x+1)(x^3-1)# using the product rule?
• How do you differentiate #f(x)=x^2cosx# using the product rule?
• How do you differentiate #f(x)=(x^3-3x)(2x^2+3x+5)# using the product rule?
• Question #dc111
• How do you integrate #y=2/(2x^4-5)# using the quotient rule?
• How do you integrate #f(x)=5/(4x^3+4)# using the quotient rule?
• How do you integrate #y=(4x^5+2x^2)/(3x^4+5)# using the quotient rule?
• How do you differentiate #y=(4x^5+x^2+4)/(5x^2-2)# using the quotient rule?
• How do you integrate #y=(3x^4+5x^3-5)/(2x^4-4)# using the quotient rule?
• How do you differentiate #y=(x^3-x^2-3)/(x^5+3)# using the quotient rule?
• How do you integrate #y=(2x^3)/(4-x)# using the quotient rule?
• How do you integrate #y=x/(x^2+1)# using the quotient rule?
• How do you integrate #y=(4sinx)/(2x+cosx)# using the quotient rule?
• How do you differentiate #y=(1+lnx)/(x^2-lnx)# using the quotient rule?
• How do you integrate #y=(5e^-x)/(x+e^(-2x))# using the quotient rule?
• How do you integrate #y=(x^(7/5)-x^(8/5))/root5x# using the quotient rule?
• How do you integrate #y=(1+ln5x)/(x/2)# using the quotient rule?
• How do you integrate #y=sinx/tanx# using the quotient rule?
• How do you integrate #y=(sin18x)/(6x)# using the quotient rule?
• How do you integrate #y=(-2+x-x^2-x^3)/(-3-2x^2)# using the quotient rule?
• How do you integrate #y=(-2-3x)/(x+x^2+2x^3)# using the quotient rule?
• How do you integrate #y=1/(-2+2x^2)# using the quotient rule?
• How do you integrate #y=(-3+x-3x^2+3x^3)/(-1-2x-3x^2)# using the quotient rule?
• How do you find the derivative #y=(-3-2x+2x^3)/(-2-x^2)# using the quotient rule?
• How do you integrate #y=(x+x^2-3x^3)/(-2+x+3x^2-3x^3)# using the quotient rule?
• How do you integrate #f(x)=x/(x^2+1)# using the quotient rule?
• How do you integrate #f(t)=(t^2+2)/(2t-7)# using the quotient rule?
• How do you integrate #g(x)=sinx/x^2# using the quotient rule?
• How do you integrate #f(x)=(3-2x-x^2)/(x^2-1)# using the quotient rule?
• How do you integrate #f(x)=cosx/(x^3)# using the quotient rule?
• How do you integrate #f(x)=(3x^2-x+2)/(4x^2+5)# using the quotient rule?
• How do you differentiate #f(x)=(4x-5)/(3x+2)# using the quotient rule?
• How do you integrate #f(x)=(2x)/(x^3-7)# using the quotient rule?
• How do you integrate #f(x)=(x^3-1)/(x^3+1)# using the quotient rule?
• How do you integrate #f(x)=(8x+5)/(x^2-2x+3)# using the quotient rule?
• How do you differentiate #f(x)=(3/(5x)-1)/(2/(x^2+7)# using the quotient rule?
• How do you integrate #f(x)=e^(-x^2)/x# using the quotient rule?
• How do you integrate #f(x)=e^(3x)/(1+e^x)# using the quotient rule?
• How do you integrate #f(x)=lnx/(1+x^2)# using the quotient rule?
• How do you differentiate #f(x)=(1-lnx)/(1+lnx)# using the quotient rule?
• How do you integrate #f(x)=(1+lnx)^4/x# using the quotient rule?
• How do you integrate #f(x)=5^x/2^x# using the quotient rule?
• How do you integrate #f(x)=log_6(2x)/lnx# using the quotient rule?
• How do you integrate #f(x)=3^(5x-1)/e^(4x)# using the quotient rule?
• How do you integrate #f(x)=sinx/x# using the quotient rule?
• How do you integrate #f(x)=(2x+1)/(3x-4)# using the quotient rule?
• How do you integrate #f(x)=(3x-4)/(2x+1)# using the quotient rule?
• How do you integrate #f(x)=(2x+1)/(x^2-3)# using the quotient rule?
• How do you integrate #f(x)=2/(x+1)# using the quotient rule?
• How do you integrate #f(x)=x^2/(3x-1)# using the quotient rule?
• How do you integrate #f(x)=(4x^3-7x)/(5x^2+2)# using the quotient rule?
• How do you integrate #f(x)=(3x-2)/(2x-3)# using the quotient rule?
• How do you integrate #h(t)=(t+1)/(t^2+2t+2)# using the quotient rule?
• How do you differentiate #f(x)=(2x+1)/(2x-1)#?
• How do you differentiate #s=(t^2+1)/(1-t^2)#?
• How do you differentiate #r=tantheta/(theta^3+theta+1)#?
• How do you differentiate #y=tanx/(2x^3)#?
• How do you differentiate #s=(1+sint)/(1+tant)#?
• How do you differentiate #s=(1+sint)/(1+cost)#?
• How do you differentiate #s=(t^-1+t^-2)/t^-3#?
• How do you differentiate #y=(3x)/(x^2-3)#?
• How do you differentiate #y=(4x^2-3x+1)/(5x-3)#?
• How do you differentiate #y=(5-2x+3x^2)/(x^2+3)#?
• How do you differentiate #y=(6+7x)/(14x+9)#?
• How do you differentiate #y=(sinx/(1+cosx))^2#?
• Question #99c22
• How do you differentiate #f(x)=e^-x/x#?
• How do you differentiate #f(x)=(1+e^(2x))/(2-e^(2x))#?
• What is the derivative of #f(x)=(4x-1)/x#?
• How do you find the derivative of the function #g(t)=(4t)/(t+1)#?
• How do you find the derivative of the function #g(t)=1/sqrtt#?
• How do you differentiate #y=e^x/(1+x)#?
• How do you differentiate #g(x)=(3x-1)/(2x+1)#?
• How do you differentiate #y=x^3/(1-x^2)#?
• How do you differentiate #y=(x+1)/(x^3+x-2)#?
• How do you differentiate #y=(t^2+2)/(t^4-3t^2+1)#?
• How do you differentiate #y=1/(t-1)^2#?
• How do you differentiate #y=(r^2-2r)e^r#?
• How do you differentiate #y=1/(x+ke^s)#?
• How do you differentiate #y=(v^3-2vsqrtv)/(v)#?
• How do you differentiate #z=w^(3/2)(w+ce^w)#?
• How do you differentiate #f(t)=(2t)/(2+sqrtt)#?
• How do you differentiate #g(t)=(t-sqrtt)/(t^(1/3))#?
• How do you differentiate #f(x)=A/(B+Ce^x)#?
• How do you differentiate #f(x)=(1-xe^x)/(x+e^x)#?
• How do you differentiate #f(x)=x/(x+c/x)#?
• How do you differentiate #f(x)=(ax+b)/(cx+d)#?
• How do you find f'(x) and f''(x) given #f(x)=x^2/(1+2x)#?
• How do you find f'(x) and f''(x) given #f(x)=x/(3+e^x)#?
• If #g(x)=x/e^x# how do you find #g^n(x)#?
• How do you find the derivative of #(x^8(x-23)^(1/2))/(27x^6(4x-6)^8)#?
• How do you find the derivative of #f(x)=x^3/(x^3-5x+10)#?
• Question #0e708
• How do you find the derivative of #f(x)=1/(x+2)#?
• How do you find the derivative of #f(x)=1/(3-2x)#?
• How do you find the derivative of #y=1/(1+1/t)#?
• How do you find the derivative of #y=1/(2x^2+1)#?
• How do you find the derivative of #s=-3/(4t^2-2t+1)#?
• How do you find the derivative of #y=(x+1)/(x-1)#?
• How do you find the derivative of #w=(2-3x)/(1+2x)#?
• How do you find the derivative of #y=(x^2-1)/(x^2+1)#?
• How do you find the derivative of #u=x/(x^2+1)#?
• How do you find the derivative of #x=((s-1)(s-2))/(s-3)#?
• How do you find the derivative of #y=(2x^-1-x^-2)/(3x^-1-4x^-2)#?
• How do you find the second derivative of #y=-5/(x+1)#?
• How do you find the second derivative of #y=1/(t^2+1)#?
• How do you find the second derivative of #z=(x-5)/(x+2)#?
• Find f(x) if f'(x)= #(e^(2x) +4e^-x)/e^x# and f(ln2)=2. Do u just find the anti-derivative for numerator and denominator separately?
• Derivatives of Products and Quotients. Find the derivative?
• Question #b4941
• Question #c7e5d
• Question #f1d38
• Question #9f557
• Question #bcf6f
• Question #ce88a
• Question #d0cc2
• What is the derivative of the following function? Thank you! THANK YOU
• Question #47835
• Find the derivative of the following function using logarithmic differentiation?
• How solve it? Derivate This Please!!!!
• How to find f'(0) ?
• What is the derivative of # e^x/2^x #?
• What is the derivative of #(1-sinx)/cosx #?
• Question #c5935
• What is the first differential of #y = (1+logx)/(1-logx)#?
• If # y = (tan^(-1)x)^2 # then show that #(1+x^2)^2y'' + 2x (1+x^2) y' = 2#?
• How do I find #f'(3)# given that #f(x)=sqrt(3x)/(x^2-4)#?
• What is the derivative? #sqrt( (ax) / (a^2 + x^2) #
• What is the derivative of #(3y)/(2x)#?
• Question #1342e
• How do I differentiate this using quotient rule?
• Find the derivative of #(x+cosx)/tanx#?
• Find the derivative of #f(x)=-tan(x)#?