The differential coefficient of \[{{\tan }^{-1}}\frac{2x}{1-{{x}^{2}}}\] w.r.t. \[{{\sin }^{-1}}\frac{2x}{1+{{x}^{2}}}\] is [Roorkee 1966; BIT Ranchi 1996; Karnataka CET 1994; MP PET 1999; UPSEAT 1999, 2001]

The differential coefficient of \[{{\tan }^{-1}}\frac{2x}{1-{{x}^{2}}}

1.	The differential coefficient of \[{{\tan }^{-1}}\frac{2x}{1-{{x}^{2}}}\] w.r.t. \[{{\sin }^{-1}}\frac{2x}{1+{{x}^{2}}}\] is [Roorkee 1966; BIT Ranchi 1996; Karnataka CET 1994; MP PET 1999; UPSEAT 1999, 2001]
A.	1
B.	? 1
C.	0
D.	None of these
Answer» B. ? 1

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The differential coefficient of \[{{\tan }^{-1}}\frac{2x}{1-{{x}^{2}}}\] w.r.t. \[{{\sin }^{-1}}\frac{2x}{1+{{x}^{2}}}\] is [Roorkee 1966; BIT Ranchi 1996; Karnataka CET 1994; MP PET 1999; UPSEAT 1999, 2001]

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