Calculus Examples

$\cot^{2} (\cos (θ))$

Step 1

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

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

Step 2

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

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

Step 3

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

$\frac{d}{d ?} [\cot^{2} (\cos (θ))]$

Step 4

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

$0$