Question

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

Answer 1

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`.