Calculus Examples

$\tan (x) + \cot (x)$

Step 1

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

$\frac{d}{d x} [\tan (x)] + \frac{d}{d x} [\cot (x)]$

Step 2

The derivative of $\tan (x)$ with respect to $x$ is $\sec^{2} (x)$ .

$\sec^{2} (x) + \frac{d}{d x} [\cot (x)]$

Step 3

The derivative of $\cot (x)$ with respect to $x$ is $- \csc^{2} (x)$ .

$\sec^{2} (x) - \csc^{2} (x)$