What is the derivative of #f(x)=ln(g(x))# ?

1 Answer
Michael B.
Sep 24, 2014

The answer would be #f'(x) = 1/g(x)*g'(x)# or it can be written as #f'(x)=(g'(x))/g(x)#.

To solve this derivative you will need to follow the chain rule which states:

#F(x)=f(g(x))# then #F'(x)=f'(g(x))*g'(x)#

Or without the equation, it the derivative of the outside(without changing the inside), times the derivative of the outside.

The derivative of #h(x) = ln(x)# is #h'(x) = 1/x#.

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