Differential coefficient of\[{{\sin }^{-1}}x\] w.r.t \[{{\cos }^{-1}}\sqrt{1-{{x}^{2}}}\] is [MNR 1983; AMU 2002]

Differential coefficient of\[{{\sin }^{-1}}x\] w.r.t \[{{\cos }^{-1}}\

1.	Differential coefficient of\[{{\sin }^{-1}}x\] w.r.t \[{{\cos }^{-1}}\sqrt{1-{{x}^{2}}}\] is [MNR 1983; AMU 2002]
A.	1
B.	\[\frac{1}{1+{{x}^{2}}}\]
C.	2
D.	None of these
Answer» B. \[\frac{1}{1+{{x}^{2}}}\]

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Differential coefficient of\[{{\sin }^{-1}}x\] w.r.t \[{{\cos }^{-1}}\sqrt{1-{{x}^{2}}}\] is [MNR 1983; AMU 2002]

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