# How do you find the fourth derivative of -5(e^x)?

Mar 29, 2018

No change $f ' ' ' ' \left(x\right) = - 5 {e}^{x}$

#### Explanation:

Just derive it 4 times

Rule for deriving ${e}^{x}$
$f \left(x\right) = {e}^{x} \Rightarrow {e}^{x}$

$f \left(x\right) = - 5 {e}^{x}$
$f ' \left(x\right) = - 5 {e}^{x}$
$f ' ' \left(x\right) = - 5 {e}^{x}$
$f ' ' ' \left(x\right) = - 5 {e}^{x}$
$f ' ' ' ' \left(x\right) = - 5 {e}^{x}$