Calculus Examples

e x

$e x$

Step 1

Since

$e$ is constant with respect to

$x$ , the derivative of

$e x$ with respect to

$x$ is

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

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

Step 2

Differentiate using the Power Rule which states that

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

$n x^{n - 1}$ where

$n = 1$ .

$e \cdot 1$

Step 3

Multiply

$e$ by

$1$ .

$e$

$e x$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$