Find `(dy)/(dx)`, if `y=sin^(-1)x+sin^(-1)sqrt(1-x^2),-1lt=xlt=1`.

Explanation

To solve the problem, we need to find the derivative \(\frac{dy}{dx}\) for the function given by:

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

### Step 1: Simplify the expression for \(y\)

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