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

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Answer 1 · 2014-09-24T17:48:40

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 $h'(x) = 1/x$ .

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