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प्रश्न
Differentiate the following w.r.t. x:
`e^x/sinx`
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उत्तर
Let, y = `e^x/sin x`
Differentiating both sides with respect to x,
`dy/dx = d/dx(e^x/sin x)`
= `(sin x d/dx e^x - e^x d/dx sin x)/(sin^2 x)`
= `(sin x . e^x - e^x . cos x)/(sin^2 x)`
= `(e^x (sin x - cos x))/(sin^2x)`, x ≠ xπ, n ∈ Z
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