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प्रश्न
Differentiate the following w.r.t. x:
`e^(sin^(-1) x)`
उत्तर
Let, y = `e^(sin^-1)x`
Differentiating both sides with respect to x,
`dy/dx = d/dx e^(sin^-1) x`
`= e^(sin^-1) x d/dx sin^-1 x`
`therefore dy/dx =e^(sin^-1)x* 1/sqrt(1 - x^2)`
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