If \( y=\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \), then which of the following is false?
(a)...
If \( y=\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \), then which of the following is false?
(a) \( \frac{d y}{d x}=\frac{2}{1+x^{2}} \) for \( -1x1 \)
(b) \( \frac{d y}{d x}=\frac{-2}{1+x^{2}} \) for \( x-1 \)
(c) \( \frac{d y}{d x}=\frac{-2}{1+x^{2}} \) for \( -1x1 \)
(d) \( \frac{d y}{d x}=\frac{-2}{1+x^{2}} \) for \( x1 \)
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