Question

What is the derivative of `f(x)=ln(e^(2x))`?

Answer 1

`f'(x) = 2`

Explanation:

Remember that `ln` and `e` are inverse functions, so `ln(e^x) = x` and `e^ln(x) = x` .

In your case, this means that you can simplify your function:
`f(x) = ln(e^(2x)) = 2x`

The derivative of this is easy. :)

`f'(x) = 2`