1.

If \[y={{\sin }^{-1}}\sqrt{1-{{x}^{2}}}\], then \[dy/dx=\] [AISSE 1987]

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


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