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Differentiate sqrt(sin^(-1)sqrt(x)) w....

Differentiate ` sqrt(sin^(-1)sqrt(x)) ` w.r.t. x, `( 0 lt x lt 1`)

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To differentiate the function \( y = \sqrt{\sin^{-1}(\sqrt{x})} \) with respect to \( x \), we will use the chain rule and the derivative of the inverse sine function. ### Step-by-step Solution: 1. **Identify the function**: \[ y = \sqrt{\sin^{-1}(\sqrt{x})} \] ...
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