1.

\[\frac{d}{dx}{{\cos }^{-1}}\sqrt{\frac{1+{{x}^{2}}}{2}}=\]                                             [AI CBSE 1988]

A.            \[\frac{-1}{2\sqrt{1-{{x}^{4}}}}\]
B.            \[\frac{1}{2\sqrt{1-{{x}^{4}}}}\]
C.            \[\frac{-x}{\sqrt{1-{{x}^{4}}}}\]
D.            \[\frac{x}{\sqrt{1-{{x}^{4}}}}\]
Answer» D.            \[\frac{x}{\sqrt{1-{{x}^{4}}}}\]


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