Solve this following

Question:

Mark $(\sqrt{ })$ against the correct answer in the following:

If $y=\sin ^{-1}\left\{\frac{\sqrt{1+x}+\sqrt{1-x}}{2}\right\}$ then $\frac{d y}{d x}=?$

A. $\frac{-1}{2 \sqrt{1-x^{2}}}$

B. $\frac{1}{2 \sqrt{1-x^{2}}}$

C. $\frac{1}{2 \sqrt{1+x^{2}}}$

D. none of these

 

Solution:

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