1.

If \[y={{\cot }^{-1}}\left( \frac{1+x}{1-x} \right)\], then \[\frac{dy}{dx}=\]                       [DSSE 1984]

A.            \[\frac{1}{1+{{x}^{2}}}\]
B.          \[-\frac{1}{1+{{x}^{2}}}\]
C.            \[\frac{2}{1+{{x}^{2}}}\]
D.            \[-\frac{2}{1+{{x}^{2}}}\]
Answer» C.            \[\frac{2}{1+{{x}^{2}}}\]


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