Question

How do you find the derivative of `f(x)=e^(2x)`?

Answer 1

`f'(x)=2e^(2x)`

Explanation:

If `f(x)=e^(g(x))` then `f'(x)=g'(x)e^(g(x))`

`g(x)=2x`
`g'(x)=2`

`f'(x)=g'(x)e^(g(x))=2*e^(2x)=2e^(2x)`