Differentiating Exponential Functions with Calculators

Key Questions

• How do you use a calculator to find the derivative of #f(x)=e^(1-3x)# ?

  #f'(x)=-3*e^(1-3x)#

  Explanation :

  #f(x)=e^(1−3x)=e*e^(-3x)#

  This type of problems solve by Chain Rule.

  let's assume #y=e^(f(x))#

  then, using Chain Rule,

  #y'=e^(f(x))*f'(x)#

  Similarly, following for the given problem,

  #f'(x)=e*(-3)*e^(-3x)#

  #f'(x)=-3*e^(1-3x)#

  Gaurav · · Sep 6 2014

• How do you use a calculator to find the derivative of #f(x)=e^(x^2)# ?
• How do you use a calculator to find the derivative of #f(x)=e^(1-3x)# ?
• How do you use a calculator to find the derivative of #f(x)=e^sqrt(x)# ?
• What is the derivative of #e^(-x)#?
• What is the derivative of #ln(2x)#?
• How do you differentiate #(lnx)^(x)#?
• How do you differentiate #x^lnx#?
• How do you differentiate #f(x) = e^xlnx#?
• How do you differentiate #e^(lnx) #?
• How do you differentiate #y = lnx^2#?
• How do you differentiate # [(e^x)(lnx)]/x #?
• How do you differentiate # y=(e^x)(lnx)#?
• How do you differentiate # e^x/ln x#?
• How do you differentiate # ln(x+4+e^-3x)#?
• How do you differentiate #(1+x)^(1/x)#?
• How do you differentiate #1 / ln(x)#?
• How do you differentiate #ln(1/x)#?
• How do you differentiate #f(x) = x/(1-ln(x-1))#?
• How do you differentiate # 1/2 (ln x) #?
• How do you differentiate #ln((x+1)/(x-1)) #?
• How do you differentiate #lnx^(1/2)#?
• How do you differentiate #ln(3x)#?
• How do you find the derivative of # (ln(x))^x#?
• How do you find the derivative of #ln((x+1)/(x-1))#?
• How do you find the derivative of #x ln (x) - x#?
• How do you find the derivative of #f(x)=ln (x^2+2)#?
• How do you find the derivative of #y = x^(ln x)#?
• How do you find the derivative of #ln(x^2-4)#?
• How do you find the derivative of # (ln(ln(ln(x))) #?
• How do you find the derivative of #ln((x^2)(e^x))#?
• How do you find the derivative of #ln(4x)#?
• How do you find the derivative of #-ln(x-(x^2+1)^(1/2))#?
• How do you find the derivative of # ln(x^(1/2))#?
• How do you find the derivative of #ln (x^8)/ x^2#?
• How do you find the derivative of # ln -x#?
• How do you find the derivative of #f(x) = x/(1-ln(x-1))#?
• How do you find the derivative of #ln(x+sqrt((x^2)-1))#?
• How do you find the derivative of #ln(1+1/x) / (1/x)#?
• How do you find the derivative of # ln (lnx) #?
• How do you differentiate #f(x) = e ^ (2(e^(t) - 1)#?