# What is the derivative of e^a (a is any constant number)?

Jan 9, 2016

$0$

#### Explanation:

If $a$ is any constant, such as $2$, then the derivative of ${e}^{2}$ would be $0$.

Since $e$ is also a constant, a constant to the power of another constant is, you guessed it, a constant.

The derivative of a constant is always $0$, since constants never change.

Even if $a$ is something odd like $\pi + \sin 7$, the derivative of ${e}^{\pi + \sin 7}$ is $0$.