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

Feb 13, 2018

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

#### Explanation:

If $f \left(x\right) = {e}^{g \left(x\right)}$ then $f ' \left(x\right) = g ' \left(x\right) {e}^{g \left(x\right)}$

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

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