1.

If \[f(x)=\sqrt{1+{{\cos }^{2}}({{x}^{2}})}\], then \[f'\left( \frac{\sqrt{\pi }}{2} \right)\] is   [Orissa JEE 2004]

A.            \[\sqrt{\pi }/6\]
B.            \[-\,\sqrt{(\pi /6)}\]
C.            \[1/\sqrt{6}\]
D.            \[\pi /\sqrt{6}\]
Answer» C.            \[1/\sqrt{6}\]


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