differentiation

Question: The differential coefficient of ${{\cos }^{-1}}\left\{ \sqrt{\frac{1+x}{2}} \right\}$with respect to x is



1) $-\frac{1}{2\sqrt{1-{{x}^{2}}}}$
2) $\frac{1}{2\sqrt{1-{{x}^{2}}}}$
3) $\frac{1}{\sqrt{1-x}}$
4) ${{\sin }^{-1}}\left\{ \sqrt{\frac{1+x}{2}} \right\}$
Solution: Explanation: No Explanation
Differentiation by substitution Higher order derivatives

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