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

Nov 10, 2015

$f ' \left(x\right) = 2$

#### Explanation:

Remember that $\ln$ and $e$ are inverse functions, so $\ln \left({e}^{x}\right) = x$ and ${e}^{\ln} \left(x\right) = x$ .

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