Calculus Examples

2 \cos (x)

$2 \cos (x)$

Step 1

Since

2

$2$ is constant with respect to

x

$x$ , the derivative of

2 \cos (x)

$2 \cos (x)$ with respect to

x

$x$ is

2 \frac{d}{d x} [\cos (x)]

$2 \frac{d}{d x} [\cos (x)]$ .

2 \frac{d}{d x} [\cos (x)]

$2 \frac{d}{d x} [\cos (x)]$

Step 2

The derivative of

\cos (x)

$\cos (x)$ with respect to

x

$x$ is

- \sin (x)

$- \sin (x)$ .

2 (- \sin (x))

$2 (- \sin (x))$

Step 3

Multiply

- 1

$- 1$ by

2

$2$ .

- 2 \sin (x)

$- 2 \sin (x)$

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

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