# What is the derivative of f(x)=e^(-6x)+e ?

Mar 13, 2018

$- 6 {e}^{- 6 x}$

#### Explanation:

We can use the Chain Rule to differentiate this:

Re-write ${e}^{- 6 x}$ as ${\left({e}^{x}\right)}^{- 6}$

Using the chain rule:

$- 6 {\left({e}^{x}\right)}^{- 7} \cdot {e}^{x} + 0$

$- 6 {e}^{- 7 x + x} = - 6 {e}^{- 6 x}$

Note the last term $e$ is a constant.