Find the derivative with respect to \( x \) of the function \( y=\l...

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Find the derivative with respect to \( x \) of the function \( y=\left\{\left(\log _{\cos x} \sin x\right)\left(\log _{\sin x} \cos x\right)^{-1}+\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right)\right\} \)
W at \( x=\frac{\pi}{4} \)
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