Find the Derivative – d/d? y=cot(cos(x))^2

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

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

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

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

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

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

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

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

$0$

Find the Derivative – d/d? y=cot(cos(x))^2

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