question_answer

The slope of the tangent to the curve \[\tan y=\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}\]at \[x=\frac{1}{2}\]is

A)  \[\frac{1}{\sqrt{3}}\]                

B)  \[\sqrt{3}\]

C)  \[1\]                

D)  \[\frac{1}{2}\]