Limit Definition of Derivative

Key Questions

• What is the Limit definition of derivative of a function at a point?

  Limit Definition of #f'(a)#

  #f'(a)=lim_{h to 0}{f(a+h)-f(a)}/h#

  or

  #f'(a)=lim_{x to a}{f(x)-f(a)}/{x-a}#

  Wataru · 1 · Sep 17 2014
• How do I use the limit definition of derivative to find #f'(x)# for #f(x)=c# ?

  #f(x)=c# is a constant function, so its value stays the same regardless of the x-value. In particular, #f(x+h)=c#.

  By the definition of the derivative,

  #f'(x)=lim_{h to 0}{f(x+h)-f(x)}/h#

  #=lim_{h to 0}{c-c}/{h}#

  #=lim_{h to 0}0#

  #=0#

  Wataru · · Sep 20 2014
• How do I use the limit definition of derivative to find #f'(x)# for #f(x)=mx+b# ?

  Remember that the limit definition of the derivative goes like this:
  #f'(x)=lim_{h rightarrow0}{f(x+h)-f(x)}/{h}#.
  So, for the posted function, we have
  #f'(x)=lim_{hrightarrow0}{m(x+h)+b-[mx+b]}/{h}#
  By multiplying out the numerator,
  #=lim_{hrightarrow0}{mx+mh+b-mx-b}/{h}#
  By cancelling out #mx#'s and #b#'s,
  #=lim_{hrightarrow0}{mh}/{h}#
  By cancellng out #h#'s,
  #=lim_{hrightarrow0}m=m#
  Hence, #f'(x)=m#.

  The answer above makes sense since the derivative tells us about the slope of the tangent line to the graph of #f#, and the slope of the linear function (its graph is a line) is #m#.

  Wataru · · Aug 29 2014
• Is there a difference between #lim_(h->0)(f(x+h)-f(x))/h# and #lim_(deltax->0)(f(x+deltax)-f(x))/(deltax)#?

  Yes, there is a difference since the first limit is defined at #x=0#, but the second one is not.

  ---

  I hope that this was helpful.

  Wataru · 1 · Oct 28 2014

• What is the limit definition of the derivative of the function #y=f(x)# ?
• Ho do I use the limit definition of derivative to find #f'(x)# for #f(x)=3x^2+x# ?
• How do I use the limit definition of derivative to find #f'(x)# for #f(x)=sqrt(x+3)# ?
• How do I use the limit definition of derivative to find #f'(x)# for #f(x)=1/(1-x)# ?
• How do I use the limit definition of derivative to find #f'(x)# for #f(x)=x^3-2# ?
• How do I use the limit definition of derivative to find #f'(x)# for #f(x)=1/sqrt(x)# ?
• How do I use the limit definition of derivative to find #f'(x)# for #f(x)=5x-9x^2# ?
• How do I use the limit definition of derivative to find #f'(x)# for #f(x)=sqrt(2+6x)# ?
• How do I use the limit definition of derivative to find #f'(x)# for #f(x)=mx+b# ?
• How do I use the limit definition of derivative to find #f'(x)# for #f(x)=c# ?
• How do I us the Limit definition of derivative on #f(x)= 1/x#?
• What is the Limit definition of derivative of a function at a point?
• How do I us the Limit definition of derivative on #f(x)=cos(x)#?
• How do I us the Limit definition of derivative on #f(x)=ln(x)#?
• How do I us the Limit definition of derivative on #f(x)=e^x#?
• How do I us the Limit definition of derivative on #f(x)=sin(x)#?
• How do I us the Limit definition of derivative on #f(x)=tan(x)#?
• How do you use the definition of a derivative to find the derivative of #f(x)=6#?
• How do you use the limit definition to compute the derivative, f'(x), for #5x^2-3x+7#?
• How do you use the limit definition to compute the derivative, f'(x), for #f(x)=cos(3x)#?
• How do you use limit to prove the derivative of #secx = secxtanx#?
• How do you show that the derivative of an odd function is even?
• How do you find the solutions for f'(3) f'(4) and f'(5), if you are given a graph with the curve #y=f(x)#?
• How do you use the formal definition to find the derivative of #y=1-x^3# at x=2?
• How do you use the definition to find the derivative of #3x^2-5x+2#?
• Using the definition of derivative, how do you prove that (cos x)' = -sin x?
• Using the definition of a derivative how do you calculate the derivative of #f(x) = x^2 + x#?
• How do you use the definition of a derivative function to calculate f'(4) where #f(x) = x+3#?
• How do you use the formal definition of the derivative as a limit to find the derivative of #F(x)= 1/x+1#?
• How do you find f '(x) using the definition of a derivative for #(x^2+1) / (x-2)#?
• How do you find the f'(x) using the formal definition of a derivative if #f(x)= 2x^2 - 3x+4#?
• How do you derive y=tanx using the definition of the derivative?
• Let #f(x) = -3 x^3 + 9 x + 4#, how do you use the limit definition of the derivative to calculate the derivative of f?
• How do you find the derivative of #1/(2-x)# using the definition of a derivative?
• How do you find the derivative by definition for #y=x^(7/3)#?
• How to use the alternate definition to find the derivative of #f(x)=sqrt(x+3)# at x=1?
• How do you use definition of derivatives to solve the derivative of #f(x)=–2(sin(x)^5)#?
• How do you find the derivative of #1/x^(1/2)# using [f(x+h)-f(x)]/h?
• How do you use the definition of the derivative to differentiate the function #f(x)= 2x^2-5#?
• How do you use the definition of derivative in terms of limits, prove that the derivative of #x^n = nx^(n-1)#?
• How do you find the derivative of the function using the definition of derivative #g(t) = 7/sqrt(t)#?
• How do you find derivative of #f(x) = 1/ (x+2)# using the definition of the derivative?
• How do you find the derivative of the function #f(x)=x^2-3x# using #f(x+h)-f(x)/h#?
• How do you use the limit definition of a derivative to take the derivative of #f(x) = sin(nx)# for a constant n?
• How do you find the f '(x) using the definition of derivative in: #f(x)=1/x#?
• How do you use the limit definition of a derivative to find the derivative of #f(x)= x^2 -5x + 3# at x=3?
• How do you use the definition of the derivative to find f '(x) and f ''(x) for #f(x) = 4 + 9x - x^2#?
• How do you use the definition of the derivative to find the derivative of the function #f(x) = 6 x + 2sqrt{x}#?
• How do you use the formal definition of differentiation as a limit to find the derivative of #f(x)=1/(x-1)#?
• How do you find the derivative of #(1/x^2)# using the limit definition equation?
• How do you find the derivative of: #f(x)=sqrt(x+1)#, using the limit definition?
• How do you find f'(x) using the definition of a derivative for #-(2/3x) #?
• How do you find f'(x) using the definition of a derivative for #(sqrt2x) - x^3#?
• How do you find f'(x) using the definition of a derivative for #f(x)= 2x^2-x #?
• How do you find f'(x) using the definition of a derivative for #f(x)=e^x #?
• How do you find f'(x) using the definition of a derivative for #f(x)=3x^2-5x+2#?
• How do you find f'(x) using the definition of a derivative for #f(x)=(x+1)/(x-1) #?
• How do you find f'(x) using the definition of a derivative for #f(x)=1/x^2#?
• How do you find f'(x) using the definition of a derivative for #f(x)= 6 x + 2sqrt{x}#?
• How do you find f'(x) using the definition of a derivative for #f(x)=absx#?
• How do you find f'(x) using the definition of a derivative for #f(x)=5.5x^2 - x + 4.2 #?
• How do you find f'(x) using the definition of a derivative for #f(x)=sqrt(2x)#?
• How do you find f'(x) using the definition of a derivative for #f(x)=cosx#?
• How do you find f'(x) using the definition of a derivative for #f(x)=(4/x^2) #?
• How do you find f'(x) using the definition of a derivative for #f(x)=(1-6t)/(5+t)#?
• How do you find f'(x) using the definition of a derivative for #f(x)=sqrt(9 − x)#?
• How do you find f'(x) using the definition of a derivative for #f(x)=sqrt(2x-1)#?
• How do you find f'(x) using the definition of a derivative for #f(x)= -7x^2 + 4x #?
• How do you find f'(x) using the definition of a derivative for #f(x)=7x^2 - 3 #?
• How do you find f'(x) using the definition of a derivative for #f(x)= 1/(x-3)#?
• How do you find f'(x) using the definition of a derivative for #f(x)= x^2 + x#?
• How do you find f'(x) using the definition of a derivative for #f(x)= 2x^2-x+5#?
• How do you find f'(x) using the definition of a derivative for #f(x)=(2-x)/(2+x) #?
• How do you find f'(x) using the definition of a derivative for #f(x)= x - sqrt(x) #?
• How do you find f'(x) using the definition of a derivative for #f(x)= 5x + 9 # at x=2?
• How do you find f'(x) using the definition of a derivative for #f(x)= 10 #?
• How do you find f'(x) using the definition of a derivative for #f(x)=x^2 - 1#?
• How do you find f'(x) using the definition of a derivative for #f(x)=x^3 + 2x^2 + 1#?
• How do you find f'(x) using the definition of a derivative for #f(x)=(x-6)^(2/3)#?
• How do you find f'(x) using the definition of a derivative for #f(x)=sqrt(1+2x)#?
• How do you find f'(x) using the definition of a derivative for #f(x)=1/sqrt(x)#?
• How do you find f'(x) using the definition of a derivative for #f(x)=cos x#?
• How do you find f'(x) using the definition of a derivative for #f(x)= (x^2-1) / (2x-3)#?
• How do you find f'(x) using the definition of a derivative for #f(x)=x + sqrtx + 7#?
• How do you find f'(x) using the definition of a derivative for #f(x)= (4+x) / (1-4x)#?
• How to determine whether f is differentiable at x=0 by considering f(x) =10-|x| and lim h-->0 f(0+h) - f(0) / (h) Which option is correct, a,b,c,d?
• How do you find the derivative of # f(x) = sqrtx# using the formal definition?
• How do you find f'(x) using the definition of a derivative #f(x)= 1/x#?
• How do you find f'(x) using the definition of a derivative #y=6e^x+4/root3x#?
• How do you find f'(x) using the definition of a derivative #f(x)=6 x + 2 /sqrt{x}#?
• How do you find f'(x) using the definition of a derivative #f(x) = x+3#?
• How do you find f'(x) using the definition of a derivative #f(x) = sqrtx + 2#?
• How do you find f'(x) using the definition of a derivative # f(x) = x^2 + x#?
• How do you find f'(x) using the definition of a derivative #f(x) =x^3 - 3x+5#?
• How do you find f'(x) using the definition of a derivative #f(x) =x^2 - 1#?
• How do you find f'(x) using the definition of a derivative #f(x) =(x-6)^(2/3)#?
• How do you find f'(x) using the definition of a derivative #f(x) =sqrt(x−3)#?
• How do you find f'(x) using the definition of a derivative #f(x) =(x^2 + 2)^2#?
• How do you find f'(x) using the definition of a derivative #f(x) =1/(x-3)#?
• How do you find f'(x) using the definition of a derivative #f(x) = -3x^2 + 6#?
• Using the limit definition, how do you differentiate #f(x) = x^2 - 1598#?
• Using the limit definition, how do you differentiate #f(x) = x+3#?
• Using the limit definition, how do you differentiate # f(x) = x^2+3#?
• Using the limit definition, how do you differentiate #f(x)=x^(-1/2)#?
• Using the limit definition, how do you differentiate #f(x)=x^3 + x#?
• Using the limit definition, how do you differentiate #f(x)=x^2+3x+1#?
• Using the limit definition, how do you differentiate #f(x) = 7x + 8#?
• Using the limit definition, how do you differentiate #f(x) =9-x^2#?
• Using the limit definition, how do you differentiate #f(x) =1/(x+2)#?
• Using the limit definition, how do you differentiate #f(x) =sqrt(x−3)#?
• Using the limit definition, how do you differentiate #f(x) =4+x-2x^2#?
• Using the limit definition, how do you differentiate #f(x) =4/(sqrt(x))#?
• Using the limit definition, how do you differentiate #f(x) =4x^2#?
• Using the limit definition, how do you differentiate #f(x) =1/sqrt(x) #?
• Using the limit definition, how do you differentiate #f(x) = x^(1/2) #?
• Using the limit definition, how do you differentiate #f(x)=(3x)/(7x-3)#?
• Using the limit definition, how do you differentiate #f(x)=3-x^2#?
• Using the limit definition, how do you differentiate #f(x)=4 -2x -x^2#?
• Using the limit definition, how do you differentiate #f(x)=1-x^2#?
• Using the limit definition, how do you differentiate #f(x)=x^3−7x+5#?
• Using the limit definition, how do you differentiate #f(x)=(x+1)^(1/2)#?
• Using the limit definition, how do you differentiate #f(x)=2x^2-x#?
• Using the limit definition, how do you differentiate #f(x)=3x^5 + 4x#?
• Using the limit definition, how do you differentiate #f(x)=sqrt(x+2)#?
• Using the limit definition, how do you differentiate #f(x)=sqrt(x+1)#?
• Using the limit definition, how do you differentiate #f(x)=−2/(x + 1)#?
• Using the limit definition, how do you differentiate #f(x)=sec x#?
• Using the limit definition, how do you differentiate #f(x)=x^2-4x+23#?
• Using the limit definition, how do you differentiate #f(x)= 3/(x+1)#?
• How do you find the derivative of the function using the definition of derivative #f(x) = 10#?
• How do you find the derivative of #sqrt(x-3)# using the limit process?
• Using the limit definition, how do you find the derivative of #f(x)=4x^2 -1#?
• Using the limit definition, how do you find the derivative of #f(x)=(x+1)/(x-1) #?
• Using the limit definition, how do you find the derivative of #f(x) = sqrt(x + 2)#?
• Using the limit definition, how do you find the derivative of #f(x)= 2x^2-x#?
• Using the limit definition, how do you find the derivative of #f(x)=4+x-2x^2#?
• Using the limit definition, how do you find the derivative of #f(x)=sqrt(2x-1)#?
• Using the limit definition, how do you find the derivative of #f(x) = x^2+3x+1#?
• Using the limit definition, how do you find the derivative of #f(x) = (sec x) #?
• Using the limit definition, how do you find the derivative of # f ( x) = x^4#?
• Using the limit definition, how do you find the derivative of #f (x) = sqrt (x−3)#?
• Using the limit definition, how do you find the derivative of #f(x) = -7x^2 + 4x#?
• Using the limit definition, how do you find the derivative of #f(x) = -5x^2+8x+2#?
• Using the limit definition, how do you find the derivative of #f(x) = 3x^2-5x+2#?
• Using the limit definition, how do you find the derivative of #1/(x^2-1)#?
• Using the limit definition, how do you find the derivative of # f(x) = 2x^2-x#?
• Using the limit definition, how do you find the derivative of # f(x)=sqrt(x−3)#?
• Using the limit definition, how do you find the derivative of #f(x)=3(x^(-2)) #?
• Using the limit definition, how do you find the derivative of #f (x) = 3x^5 + 4x #?
• Using the limit definition, how do you find the derivative of #f(x)= 9-x^2#?
• Using the limit definition, how do you find the derivative of #f(x) = 2sqrtx#?
• Using the limit definition, how do you find the derivative of #f(x) = x/(x+4)#?
• Using the limit definition, how do you find the derivative of # f(x)=4x^2#?
• Using the limit definition, how do you find the derivative of # f(x) = 4 -2x -x^2#?
• Using the limit definition, how do you find the derivative of #f(x) = 3x - x^2#?
• Using the limit definition, how do you find the derivative of #f(x) =sqrt (x+1) #?
• Using the limit definition, how do you find the derivative of # f(x)=cosx #?
• Using the limit definition, how do you find the derivative of #F(x)=x^3−7x+5#?
• Using the limit definition, how do you find the derivative of # g(x) = −2/(x + 1)#?
• Using the limit definition, how do you find the derivative of #f(x)=x^(1/3)#?
• Using the limit definition, how do you find the derivative of #f(x) = 3x^2 + 8x + 4 #?
• Using the limit definition, how do you find the derivative of #y = x^2 + x + 1 #?
• Using the limit definition, how do you find the derivative of #y =3/(x+1)#?
• Using the limit definition, how do you find the derivative of # f(x) = (x^2-1) / (2x-3)#?
• Using the limit definition, how do you find the derivative of #f(x)= x^2 -5x + 3#?
• How do you find the instantaneous rate of change of #2/(sqrt(x) + 1)# using the #lim_(h->0)# method?
• How do you use the definition of a derivative to find the derivative of #f(x)= 2x^2-x#?
• How do you use the definition of a derivative to find the derivative of #-(2/3x) #?
• How do you use the definition of a derivative to find the derivative of #(x^2+1) / (x-2)#?
• How do you use the definition of a derivative to find the derivative of #1/x#?
• How do you use the definition of a derivative to find the derivative of #1/x^2#?
• How do you use the definition of a derivative to find the derivative of #3x^2-5x+2#?
• How do you use the definition of a derivative to find the derivative of #g(x) = sqrt(9 − x)#?
• How do you use the definition of a derivative to find the derivative of #f(x) = |x|#?
• How do you use the definition of a derivative to find the derivative of #f(x) =e^x#?
• How do you use the definition of a derivative to find the derivative of #f(x) = 6 x + 2 /sqrt{x}#?
• How do you use the definition of a derivative to find the derivative of #f(x)=(x+1)/(x-1)#?
• How do you use the definition of a derivative to find the derivative of #4/x^2#?
• How do you use the definition of a derivative to find the derivative of #f(x)= 2x^2 - 3x+4#?
• How do you use the definition of a derivative to find the derivative of #f(x)= 1/(x-3)#?
• How do you use the definition of a derivative to find the derivative of #f ( x) = x^4#?
• How do you use the definition of a derivative to find the derivative of #G(t)= (4t)/(t+1)#?
• How do you use the definition of a derivative to find the derivative of #sqrt(2x)#?
• How do you use the definition of a derivative to find the derivative of #G(t) = (1-6t)/(5+t)#?
• How do you use the definition of a derivative to find the derivative of #f(x) = 4 / sqrt( 5 - x )#?
• How do you use the definition of a derivative to find the derivative of #g(t) = 7/sqrt(t)#?
• How do you use the definition of a derivative to find the derivative of #f(x)=cosx#?
• How do you use the definition of a derivative to find the derivative of # f(x) = 5x + 9# at x=2?
• How do you use the definition of a derivative to find the derivative of # f(x) = -6 – x^2# at x=7?
• How do you use the definition of a derivative to find the derivative of # f(x) = 10 #?
• How do you use the definition of a derivative to find the derivative of #f(x) = 7/(9x)#?
• How do you use the definition of a derivative to find the derivative of #f(x) =1/x#?
• How do you use the definition of a derivative to find the derivative of #f(x)=4+x-2x^2#?
• How do you use the definition of a derivative to find the derivative of #f(x)=x^2 - 1#, at c=2?
• How do you use the definition of a derivative to find the derivative of #f(x)=x^3 + 2x^2 + 1#, at c=-2?
• How do you use the definition of a derivative to find the derivative of #f(x)=(x-6)^(2/3)#, at c=6?
• How do you use the definition of a derivative to find the derivative of #f(x)=x^2-3x-1#?
• How do you use the definition of a derivative to find the derivative of #f(x) = sqrtx + 2# to calculate f'(2)?
• How do you use the definition of a derivative to find the derivative of #f(x) = 3/(x-2)# to calculate f'(a)?
• How do you use the definition of a derivative to find the derivative of #(2/sqrt x)#?
• How do you use the definition of a derivative to find the derivative of #f(x) = -7x^2 + 4x#?
• How do you use the definition of a derivative to find the derivative of #f(x) = 7x^2 - 3#?
• How do you use the definition of a derivative to find the derivative of #f(x) = 4 + 9x - x^2#?
• How do you use the definition of a derivative to find the derivative of #f(x)=(1/x)-2#?
• How do you use the definition of a derivative to find the derivative of #f(x) = (x^2 + 2)^2#?
• How do you use the definition of a derivative to find the derivative of #f(x) = 1.5x^2 - x + 3.7#?
• How do you use the definition of a derivative to find the derivative of #f(x) = (4+x) / (1-4x)#?
• How do you use the definition of a derivative to find the derivative of #f(x) = x + sqrtx#?
• How do you use the definition of a derivative to find the derivative of #f(x) = (x^2-1) / (2x-3)#?
• How do you use the definition of a derivative to find the derivative of #1/sqrt(x)#?
• How do you use the definition of a derivative to find the derivative of #f(x)=1/x#?
• How do you use the definition of a derivative to find the derivative of #1/x^2#?
• Question #db9bf
• How do you find the derivative of #f(x)=4+x-2x^2# using the limit definition?
• How do you find the derivative of #f(x) = x+3# using the limit definition?
• How do you find the derivative of #f(x) = 3/(x-2)# using the limit definition?
• How do you find the derivative of #2/sqrtx# using the limit definition?
• How do you find the derivative of #(x+1)/(x-1)# using the limit definition?
• How do you find the derivative of #f(x)=1/x# using the limit definition?
• How do you find the derivative of #(cos x)# using the limit definition?
• How do you find the derivative of #0# using the limit definition?
• How do you find the derivative of #(sec x)# using the limit definition?
• How do you find the derivative of #f(x) = x^2+3x+1# using the limit definition?
• How do you find the derivative of #-5x^2+8x+2# using the limit definition?
• How do you find the derivative of #f(x) = 7x^2 - 3 # using the limit definition?
• How do you find the derivative of #f(x) = x^4# using the limit definition?
• How do you find the derivative of # y=tanx# using the limit definition?
• How do you find the derivative of # y=sqrt(x−3)# using the limit definition?
• How do you find the derivative of # 1/(x^2-1)# using the limit definition?
• How do you find the derivative of #3x^2-5x+2# using the limit definition?
• How do you find the derivative of #f(x)=3(x^(−2))# using the limit definition?
• How do you find the derivative of #f(x)=4/(sqrtx-5)# using the limit definition?
• How do you find the derivative of #4x^2 -1# using the limit definition?
• How do you find the derivative of #f (x) = 3x^5 + 4x# using the limit definition?
• How do you find the derivative of #f(x)= 9-x^2# using the limit definition at x=2?
• How do you find the derivative of # e^x# using the limit definition?
• How do you find the derivative of #f(x) = x/(x+4) # using the limit definition?
• How do you find the derivative of # f(x) = 2x^2-x# using the limit definition?
• How do you find the derivative of #f(x) = 4/(sqrt(x))# using the limit definition?
• How do you find the derivative of #f(x)=4x^2# using the limit definition?
• How do you find the derivative of #g(x) = −2/(x + 1)# using the limit definition?
• How do you find the derivative of #f(x) = 3x^2 + 8x + 4# using the limit definition?
• How do you find the derivative of # F(x)=x^3−7x+5# using the limit definition?
• How do you find the derivative of #sqrt (1+3x) using the limit definition?
• How do you find the derivative of #y = x^2 + x + 1 # using the limit definition?
• How do you find the derivative of #f(x) = (x^2-1) / (2x-3)# using the limit definition?
• How do you find the derivative of #f(x)= x^2 -5x + 3 # using the limit definition?
• How do you find the derivative of #(5-x)/x# using limits?
• How do you find the derivative of #sqrt( x+1 )# using limits?
• Question #62514
• How do you find f'(x) using the limit definition given # f(x)=3x^(−2)#?
• How do you find f'(x) using the limit definition given #f(x)=4+x-2x^2#?
• How do you find f'(x) using the limit definition given # f(x)= 2x^2-x#?
• How do you find f'(x) using the limit definition given #f(x)=x^(-1/2)#?
• How do you find f'(4) using the limit definition given #f(x) = x+3#?
• How do you find f'(2) using the limit definition given #f(x) = sqrt x + 2#?
• How do you find f'(x) using the limit definition given #f(x) = 3/(x-2)#?
• How do you find f'(x) using the limit definition given #(2/sqrt x)#?
• How do you find f'(-1) using the limit definition given #-5x^2+8x+2#?
• How do you find f'(x) using the limit definition given # 3x^2-5x+2 #?
• How do you find f'(x) using the limit definition given # 4x^2 -1#?
• How do you find f'(x) using the limit definition given # sqrt(x−3)#?
• How do you find f'(x) using the limit definition given # f(x) = x/(x+4)#?
• How do you find f'(x) using the limit definition given # f(x) =sqrt (x+1)#?
• How do you find f'(x) using the limit definition given #f(x)=4/sqrt(x-5)#?
• How do you find f'(x) using the limit definition given #sqrt(2x-1)#?
• How do you find f'(2) using the limit definition given #f(x)= 9-x^2#?
• How do you find f'(x) using the limit definition given #4/(sqrt(x))#?
• How do you find f'(3) using the limit definition given #1/(x^2-1)#?
• How do you find f'(x) using the limit definition given # (1/x^2) #?
• How do you find f'(-2) using the limit definition given # f(x)=x^3+ 3x#?
• How do you find f'(2) using the limit definition given #f(x)=4x^2#?
• How do you find f'(-5) using the limit definition given #f(x) = −2/(x + 1)#?
• How do you find f'(-5) using the limit definition given #f (x) = 5 cos(x)#?
• How do you find f'(x) using the limit definition given #f (x) = sqrt(1+3x)#?
• How do you find f'(x) using the limit definition given #f (x) = -(2/3x) #?
• How do you find f'(x) using the limit definition given #sqrt(2x) - x^3 #?
• How do you find f'(x) using the limit definition given #f(x) = (3 + x)/(1 - 3x) #?
• How do you find f'(x) using the limit definition given #f(x) = -3 x^3 + 9 x + 4#?
• How do you find f'(2) using the limit definition given #3/(x+1)#?
• How do you find f'(x) using the limit definition given #f(x) = (x^2-1) / (2x-3)#?
• How do you find f'(3) using the limit definition given #f(x)= x^2 -5x + 3#?
• How do you use the limit definition of the derivative to find the derivative of #y=-2x+5#?
• How do you use the limit definition of the derivative to find the derivative of #y=-4x-2#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=4x^2+1#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=-3x^2+4#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=-4x^2-5x-2#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=3x^2+3x+3#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=sqrt(-3x-5)#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=sqrt(4x-5)#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=1/(x+2)#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=-2/(2x-1)#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=sqrt(x-4)#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=-x^3#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=x/(x+1)#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=1/sqrtx#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=-4#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=5x+1#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=-3x^2+x+5#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=x^3+2x#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=sqrtx#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=2/x#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=3x-7#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=2x+11#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=-4x+2#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=-x+6#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=7x+32#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=x^2#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=x^2+3x#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=3x^2#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=4x^2#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=x^3#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=1/x#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=sqrtx#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=2x^2-3x+6#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=-4x^3-3x^2+1#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=7x+1#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=(x+1)/(x-4)#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=4/(x-3)#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=sqrt(2x+7)#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=sqrt(x+8)+3x#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=sqrt(x)-2x+1#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=x+1#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=2/x#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=x^2+x#?
• How do you use the limit definition of the derivative to find the derivative of #f(x)=x/(x+1)#?
• How do you use the limit definition to find the derivative of #f(x)=1/x^2#?
• How do you use the limit definition to find the derivative of #f(x)=x/(x+2)#?
• How do you use the limit definition to find the derivative of #f(x)=sqrt(x+1)#?
• How do you use the limit definition to find the derivative of #f(x)=x^3-x^2+2x#?
• How do you use the limit definition to find the derivative of #f(x)=(x+1)/(x-1)#?
• How do you use the limit definition to find the derivative of #f(x)=(4-3x)/(2+x)#?
• How do you use the limit definition to find the derivative of #f(x)=x/(x^2-1)#?
• How do you use the limit definition to find the derivative of #f(x)=x^2-15x+7#?
• How do you use the limit definition to find the derivative of #f(x)=1/(4x-3)#?
• How do you use the limit definition to find the derivative of #f(x)=sqrt(x-7)#?
• How do you use the limit definition to find the derivative of #f(x)=2x^2+1#?
• How do you use the limit definition to find the derivative of #f(x)=3x-4#?
• How do you use the limit definition to find the derivative of #f(x)=x^3+1#?
• How do you use the limit definition to find the derivative of #f(x)=2/(x+4)#?
• How do you use the limit definition to find the derivative of #f(x)=(2-x)/(3x+1)#?
• How do you use the limit definition to find the derivative of #f(x)=sqrt(3-2x)#?
• How do you use the limit definition to find the derivative of #f(x)=2/(5x+1)^3#?
• How do you use the limit definition to find the derivative of #f(x)=3x^(2/3)-4x^(1/2)-2#?
• How do you use the limit definition to find the derivative of #2sqrtx-1/(2sqrtx)#?
• How do you use the limit definition to find the derivative of #x/(sqrt(1-x^2)#?
• How do you use the limit definition to find the derivative of #y=-3x^2+x+4#?
• How do you use the limit definition to find the derivative of #y=sqrt(-4x-2)#?
• How do you use the limit definition to find the derivative of #y=-1/(x-1)#?
• How do you use the limit definition to find the derivative of #y=-4x-5#?
• How do you use the limit definition to find the derivative of #y=-1/(2x+1)#?
• How do you use the limit definition to find the derivative of #y=sqrt(-4x-4)#?
• How do you use the limit definition to find the derivative of #y=1/(x+2)#?
• How do you use the limit definition to find the derivative of #y=-3x-3#?
• How do you use the limit definition to find the derivative of #y=-x^2-4x+2#?
• How do you use the limit definition to find the derivative of #y=x+4#?
• How do you use the definition of a derivative to find f' given #f(x)=sqrtx# at x=1?
• How do you use the definition of a derivative to find f' given #f(x)=x^3# at x=2?
• How do you use the definition of a derivative to find f' given #f(x)=1/x^2# at x=1?
• How do you use the definition of a derivative to find f' given #f(x)=sqrt(4x+3)# at x>-3/4?
• Does the limit #lim_(x->3) (f(x)-f(3))/(x-3)# always exist?
• How do you find the derivative of #y = sqrt(x + 1)# using the limit definition?
• How do you use the definition of a derivative to show that if #f(x)=1/x# then #f'(x)=-1/x^2#?
• Question #b1245
• What is the value of the following limit: #lim_(x-> 1) (1/(x + 3) - 1/(1 + 3))/(x - 1)#?
• How do you find the derivative of #f(x)=3# using the limit process?
• How do you find the derivative of #g(x)=-5# using the limit process?
• How do you find the derivative of #f(x)=-5x# using the limit process?
• How do you find the derivative of #f(x)=3x+2# using the limit process?
• How do you find the derivative of #h(s)=3+2/3s# using the limit process?
• How do you find the derivative of #f(x)=1-x^2# using the limit process?
• How do you find the derivative of #f(x)=9-1/2x# using the limit process?
• How do you find the derivative of #f(x)=2x^2+x-1# using the limit process?
• How do you find the derivative of #f(x)=x^3-12x# using the limit process?
• How do you find the derivative of #f(x)=x^3+x^2# using the limit process?
• How do you find the derivative of #f(x)=1/(x-1)# using the limit process?
• How do you find the derivative of #f(x)=1/x^2# using the limit process?
• How do you find the derivative of #f(x)=sqrt(x+1)# using the limit process?
• How do you find the derivative of #f(x)=4/sqrtx# using the limit process?
• Question #d7d5a
• Find the derivative using first principles? : #x+sqrt(x)#
• If (below), then f'(x) = ? (A) 3 (B) 1 (C) -1 (D) -3 (E) -5
• Question #91814
• Question #4301d
• How do you use the limit definition to find the derivative of #y = cscx#?
• Question #ad56f
• How do you find the derivative using limits of #f(x)=3#?
• How do you find the derivative using limits of #g(x)=-5#?
• How do you find the derivative using limits of #f(x)=-5x#?
• How do you find the derivative using limits of #f(x)=3x+2#?
• How do you find the derivative using limits of #h(x)=3+2/3x#?
• How do you find the derivative using limits of #f(x)=9-1/2x#?
• How do you find the derivative using limits of #f(x)=2x^2+x-1#?
• How do you find the derivative using limits of #f(x)=1-x^2#?
• How do you find the derivative using limits of #f(x)=x^3-12x#?
• How do you find the derivative using limits of #f(x)=x^3+x^2#?
• How do you find the derivative using limits of #f(x)=1/(x-1)#?
• How do you find the derivative using limits of #f(x)=1/x^2#?
• How do you find the derivative using limits of #f(x)=sqrt(x+1)#?
• How do you find the derivative using limits of #f(x)=4/sqrtx#?
• How do you use the definition of a derivative to find the derivative of #f(x)=-x^3-2x^2+3x+6#?
• How do you use the definition of a derivative to find the derivative of #f(x)=x^3+5x^2+6#?
• Prove that? # lim_(h->0)(sec(x+h) - sec x)/h = sec x*tan x #
• How do you use the definition of a derivative to find the derivative of #f(x)=5x#?
• How do you use the definition of a derivative to find the derivative of #f(x)=9x-2#?
• Find the derivative using first principles? : # e^sinx#
• Find the derivative using first principles? : #sin sqrt(x)#
• If #f(x)=4x^(-1)# find #(f(a+h)-f(a))/h#?
• Question #99bbe
• How do you use the definition of the derivative?
• Question #fba02
• Question #d2448
• Find the derivative using first principles? : #G(t) = (1-5t)/(4+t) #
• Question #25d27
• Question #f0b82
• Is there a certain formula for derivatives?
• Question #0dc0b
• How do you do the following questions?
• Differentiate the following from first principles: (a) #y=10x# (b) #y=6-5x+x^2#?
• Differentiate #f(x)=2x-3# using first principal?
• Find the derivative of #cos# using First Principles?
• Differentiate #sin(x/2)# using first principles?
• Evaluate the limit #lim_(h rarr 0) {(x-h)^3-x^3}/h#?
• Differentiate #-x^2-2x-2# using first principles?
• Find the derivative using first principles? : #cscx#
• Find the derivative using first principles? : #2sqrt(x) #
• Find the derivative using first principles? : #sqrt(x-5) #
• Find the derivative using first principles? : #x^3#
• Find the derivative using first principles? : #x^n#
• Question #3c6fa
• Find the derivative using first principles? : #3x^2-4x #
• Find the derivative of #tan(ax+b)# from first principles?
• Find the derivative using first principles? : #ln(3x) #
• Find the derivative using first principles? : #y=e^(2x)#
• Use the definition of the derivative to find f’ when f(x) =6x^2 +4. No points for any other methods please help??
• What is the derivative: #g(y) = sqrt[2y + (3y + 4y^2)^3]#?
• Use the first principle to differentiate? #y=sqrt(sinx)#
• Differentiate #cos(x^2+1)# using first principle of derivative?
• Find the Derivative of #sec x# using first principle?