The derivative of \[{{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)\] w.r.t. \[{{\cot }^{-1}}\left( \frac{1-3{{x}^{2}}}{3x-{{x}^{2}}} \right)\] is [Karnataka CET 2003]

The derivative of \[{{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}

1.	The derivative of \[{{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)\] w.r.t. \[{{\cot }^{-1}}\left( \frac{1-3{{x}^{2}}}{3x-{{x}^{2}}} \right)\] is [Karnataka CET 2003]
A.	1
B.	\[\frac{3}{2}\]
C.	\[\frac{2}{3}\]
D.	\[\frac{1}{2}\]
Answer» D. \[\frac{1}{2}\]

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The derivative of \[{{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)\] w.r.t. \[{{\cot }^{-1}}\left( \frac{1-3{{x}^{2}}}{3x-{{x}^{2}}} \right)\] is [Karnataka CET 2003]

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