The differential coefficient of \[{{\cos }^{-1}}\left\{ \sqrt{\frac{1+x}{2}} \right\}\]with respect to x is [MP PET 1993]

\[\frac{1}{2\sqrt{1-{{x}^{2}}}}\]

\[-\frac{1}{2\sqrt{1-{{x}^{2}}}}\]

\[{{\sin }^{-1}}\left\{ \sqrt{\frac{1+x}{2}} \right\}\]

The differential coefficient of \[{{\cos }^{-1}}\left\{ \sqrt{\frac{1+

1.	The differential coefficient of \[{{\cos }^{-1}}\left\{ \sqrt{\frac{1+x}{2}} \right\}\]with respect to x is [MP PET 1993]
A.	\[-\frac{1}{2\sqrt{1-{{x}^{2}}}}\]
B.	\[\frac{1}{2\sqrt{1-{{x}^{2}}}}\]
C.	\[\frac{1}{\sqrt{1-x}}\]
D.	\[{{\sin }^{-1}}\left\{ \sqrt{\frac{1+x}{2}} \right\}\]
Answer» B. \[\frac{1}{2\sqrt{1-{{x}^{2}}}}\]

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The differential coefficient of \[{{\cos }^{-1}}\left\{ \sqrt{\frac{1+x}{2}} \right\}\]with respect to x is [MP PET 1993]

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