Find `(dy)/(dx),` if `y=sin^(-1)[xsqrt(\ 1-x)-\ sqrt(x)\ sqrt(1-x^2)\ ]\ `

Explanation

To find \(\frac{dy}{dx}\) for the function

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

we will follow these steps:

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