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प्रश्न
Differentiate the following w.r.t. x:
`e^(sin^(-1) x)`
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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`
= `e^(sin^-1)x* 1/sqrt(1 - x^2)`
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