Calculus Examples

$\frac{1}{\sec (x)}$

Step 1

Rewrite $\sec (x)$ in terms of sines and cosines.

$\frac{d}{d x} [\frac{1}{\frac{1}{\cos (x)}}]$

Step 2

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\cos (x)}$ .

$\frac{d}{d x} [1 \cos (x)]$

Step 3

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

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

Step 4

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

$- \sin (x)$