Calculus Examples

$e^{x} + e^{x}$

Step 1

By the Sum Rule, the derivative of $e^{x} + e^{x}$ with respect to $x$ is $\frac{d}{d x} [e^{x}] + \frac{d}{d x} [e^{x}]$ .

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

Step 2

Differentiate using the Exponential Rule which states that $\frac{d}{d x} [a^{x}]$ is $a^{x} \ln (a)$ where $a$ = $e$ .

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

Step 3

Differentiate using the Exponential Rule which states that $\frac{d}{d x} [a^{x}]$ is $a^{x} \ln (a)$ where $a$ = $e$ .

$e^{x} + e^{x}$

Step 4

Add $e^{x}$ and $e^{x}$ .

$2 e^{x}$