If \( y=\sin ^{-1} \frac{2 x}{1+x^{2}}+\sec ^{-1} \frac{1+x^{2}}{1-...
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If \( y=\sin ^{-1} \frac{2 x}{1+x^{2}}+\sec ^{-1} \frac{1+x^{2}}{1-x^{2}} \), then \( \frac{d y}{d x}= \)
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(1) \( \frac{4}{1-x^{2}} \)
(2) \( \frac{1}{1+x^{2}} \)
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(3) \( \frac{4}{1+x^{2}} \)
(4) \( \frac{-4}{1+x^{2}} \)
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