Calculus Examples

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

Step 1

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

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

Step 2

Since $\tan (x)$ is constant with respect to $y$ , the derivative of $\tan (x)$ with respect to $y$ is $0$ .

$0 + \frac{d}{d y} [\cot (x)]$

Step 3

Since $\cot (x)$ is constant with respect to $y$ , the derivative of $\cot (x)$ with respect to $y$ is $0$ .

$0 + 0$

Step 4

Add $0$ and $0$ .

$0$