If \( f(x)=\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \), then \( f(x) \) is differentiable on (...

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If \( f(x)=\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \), then \( f(x) \) is differentiable on
(A) \( [-1,1] \)
(B) \( R-\{-1,1\} \)
(C) \( R-(-1,1) \)
(D) None of these
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