The derivative of \[{{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right)\,\]w.r.t. \[{{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)\] is [Karnataka CET 2000; Pb. CET 2004]

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

1.	The derivative of \[{{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right)\,\]w.r.t. \[{{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)\] is [Karnataka CET 2000; Pb. CET 2004]
A.	?1
B.	1
C.	2
D.	4
Answer» C. 2

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The derivative of \[{{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right)\,\]w.r.t. \[{{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)\] is [Karnataka CET 2000; Pb. CET 2004]

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