Differentiate the following function with respect to `x :` `sin ^{-1}{frac{x+sqrt{1-x^{2}}}{sqrt{2}}}` , `-1 < x < 1`

Explanation

Let `x=sin theta`


`frac{d x}{d theta}=cos theta ldots ldots` . .({i})




`y=sin ^{-1}{frac{sin theta+cos theta}{sqrt{2}}}`




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