# How do you differentiate f(x) = e^((x^2+ln(5^x)) using the chain rule?

Dec 10, 2017

$f ' \left(x\right) = 2 x {e}^{{x}^{2}} {5}^{x} + {5}^{x} \ln \left(5\right) {e}^{{x}^{2}}$
or simplified
$f ' \left(x\right) = {5}^{x} {e}^{{x}^{2}} \left(2 x + \ln \left(5\right)\right)$

#### Explanation:

I made a video to explain the solution.

Hope it helps :)

Harold