The differential coefficient of \[{{\tan }^{-1}}\left( \frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}} \right)\] is [MP PET 2003]

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

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

The differential coefficient of \[{{\tan }^{-1}}\left( \frac{\sqrt{1+x

1.	The differential coefficient of \[{{\tan }^{-1}}\left( \frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}} \right)\] is [MP PET 2003]
A.	\[\sqrt{1-{{x}^{2}}}\]
B.	\[\frac{1}{\sqrt{1-{{x}^{2}}}}\]
C.	\[\frac{1}{2\sqrt{1-{{x}^{2}}}}\]
D.	x
Answer» D. x

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The differential coefficient of \[{{\tan }^{-1}}\left( \frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}} \right)\] is [MP PET 2003]

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