If `y=xsin^(-1)x+sqrt(1-x^2), p rov et h a t(dy)/(dx)=sin^(-1)x`

Explanation

To prove that \(\frac{dy}{dx} = \sin^{-1} x\) for the function

\[ y = x \sin^{-1} x + \sqrt{1 - x^2}, \]

we will differentiate \(y\) with respect to \(x\) step by step.

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