differentiation

Question: If $y={{\sin }^{-1}}\sqrt{1-{{x}^{2}}}$, then $dy/dx=$

1) $\frac{1}{\sqrt{1-{{x}^{2}}}}$

2) $\frac{1}{\sqrt{1+{{x}^{2}}}}$

3) $-\frac{1}{\sqrt{1-{{x}^{2}}}}$

4) $-\frac{1}{\sqrt{{{x}^{2}}-1}}$

Solution:

Explanation: No Explanation

Differentiation by substitution Higher order derivatives

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