1.

  If \[y={{\sin }^{-1}}\sqrt{x}\],  then \[\frac{dy}{dx}=\]                              [MP PET 1995]

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


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