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Differentiate the following w.r.t. x: e^...

Differentiate the following w.r.t. x:
`e^(sin^-1x)`

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To differentiate the function \( y = e^{\sin^{-1}x} \) with respect to \( x \), we will apply the chain rule. Here’s the step-by-step solution: ### Step 1: Identify the outer and inner functions We have: - Outer function: \( e^u \) where \( u = \sin^{-1}x \) - Inner function: \( u = \sin^{-1}x \) ### Step 2: Differentiate the outer function ...
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