Calculus Examples

6 x^{2}

$6 x^{2}$

Step 1

Since

6

$6$ is constant with respect to

x

$x$ , the derivative of

6 x^{2}

$6 x^{2}$ with respect to

x

$x$ is

6 \frac{d}{d x} [x^{2}]

$6 \frac{d}{d x} [x^{2}]$ .

6 \frac{d}{d x} [x^{2}]

$6 \frac{d}{d x} [x^{2}]$

Step 2

Differentiate using the Power Rule which states that

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

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

n x^{n - 1}

$n x^{n - 1}$ where

n = 2

$n = 2$ .

6 (2 x)

$6 (2 x)$

Step 3

Multiply

2

$2$ by

6

$6$ .

12 x

$12 x$