Calculus Examples

9 e^{x}

$9 e^{x}$

Step 1

Since

9

$9$ is constant with respect to

x

$x$ , the derivative of

9 e^{x}

$9 e^{x}$ with respect to

x

$x$ is

9 \frac{d}{d x} [e^{x}]

$9 \frac{d}{d x} [e^{x}]$ .

9 \frac{d}{d x} [e^{x}]

$9 \frac{d}{d x} [e^{x}]$

Step 2

Differentiate using the Exponential Rule which states that

\frac{d}{d x} [a^{x}]

$\frac{d}{d x} [a^{x}]$ is

a^{x} \ln (a)

$a^{x} \ln (a)$ where

a

$a$ =

e

$e$ .

9 e^{x}

$9 e^{x}$