Calculus Examples

$2 - \cos (x)$

Step 1

Differentiate.

Tap for more steps...

Step 1.1

By the Sum Rule, the derivative of $2 - \cos (x)$ with respect to $x$ is $\frac{d}{d x} [2] + \frac{d}{d x} [- \cos (x)]$ .

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

Step 1.2

Since $2$ is constant with respect to $x$ , the derivative of $2$ with respect to $x$ is $0$ .

$0 + \frac{d}{d x} [- \cos (x)]$

Step 2

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

Tap for more steps...

Step 2.1

Since $- 1$ is constant with respect to $x$ , the derivative of $- \cos (x)$ with respect to $x$ is $- \frac{d}{d x} [\cos (x)]$ .

$0 - \frac{d}{d x} [\cos (x)]$

Step 2.2

The derivative of $\cos (x)$ with respect to $x$ is $- \sin (x)$ .

$0 - - \sin (x)$

Step 2.3

Multiply $- 1$ by $- 1$ .

$0 + 1 \sin (x)$

Step 2.4

Multiply $\sin (x)$ by $1$ .

$0 + \sin (x)$

Step 3

Add $0$ and $\sin (x)$ .

$\sin (x)$