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Differentiate each of the following w.r.t

Question:

Differentiate each of the following w.r.t $x$ :

If $y=\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right)+\sec ^{-1}\left(\frac{1+x^{2}}{1-x^{2}}\right)$, show that $\frac{d y}{d x}=\frac{4}{\left(1+x^{2}\right)}$

Solution:

 

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