Calculus Examples

$y = \cot^{2} (\cos (x))$

Step 1

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

$\frac{d}{d ?} [{(\frac{\cos (\cos (x))}{\sin (\cos (x))})}^{2}]$

Step 2

Apply the product rule to $\frac{\cos (\cos (x))}{\sin (\cos (x))}$ .

$\frac{d}{d ?} [\frac{\cos^{2} (\cos (x))}{\sin^{2} (\cos (x))}]$

Step 3

Convert from $\frac{\cos^{2} (\cos (x))}{\sin^{2} (\cos (x))}$ to $\cot^{2} (\cos (x))$ .

$\frac{d}{d ?} [\cot^{2} (\cos (x))]$

Step 4

Since $\cot^{2} (\cos (x))$ is constant with respect to $?$ , the derivative of $\cot^{2} (\cos (x))$ with respect to $?$ is $0$ .

$0$