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Find the derivative of the function:

$$y=x^2\cot^2(x)$$

A

$4x\cot(x)$

B

$2x\cot(x)(\cot(x)+x)$

C

$2x\cot(x)(\cot(x)+x \csc^2(x))$

D

$2x\cot(x)(\cot(x)-x \csc^2(x))$

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