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Find derivative of the function:

$$ f(x)=\cos (\ln (x^2+1))$$

A

$-\cfrac{\sin(\ln(x^2+1))2x}{x^2+1}$

B

$ \cfrac{\sin(\ln(x^2+1))2x}{x^2+1}$

C

$ \cfrac{-\sin(\ln(x^2+1))}{x^2+1}$

D

$ -\sin(\ln(x^2+1))$

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