Calculus Examples

$\frac{y}{\cos (x)}$

Step 1

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

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

Step 2

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$y \frac{d}{d x} [\sec (x)]$

Step 3

The derivative of $\sec (x)$ with respect to $x$ is $\sec (x) \tan (x)$ .

$y \sec (x) \tan (x)$