# What is the derivative of #f(x)=ln(e^x+3)# ?

##### 1 Answer

Aug 24, 2014

#f'(x)=e^x/(e^x+3)#

solutionLet's

#y=ln(f(x))# Differentiating with respect to

#x# using Chain Rule, we get,

#y'=1/f(x)*f'(x)# Similarly following for the given problem yields,

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

#f'(x)=e^x/(e^x+3)#