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A)Begin by differentiation each side of the equation x=siny. Findd/dxB) Find d/dx sinyC) Find dy/dx Assume that ( y=sin ^{-1} x ) is a differentiable

A)Begin by differentiation each side of the equation x=siny. Findd/dxB) Find d/dx sinyC) Find dy/dx Assume that \( y=\sin ^{-1} x \) is a differentiable function of \( x \). By differentiating the equation \( x=\sin y \) implicitly, show that \( \frac{d y}{d x}=\frac{1}{\sqrt{1-x^{2}}} \). 1 answer

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