$\frac{d}{dx} \left[ \cos^2 \left( \cot^{-1} \left( \frac{2+x}{\sqrt{2-x}} \right) \right) \right]$ is .......

Question

$\frac{1}{4}$

$\frac{1}{2}$

$-\frac{1}{2}$

$-\frac{3}{4}$

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