If $$y=ex$$⋅$$cot$$⁡x then dydx will be

Correct option is 3excot⁡x−cosec2⁡x

Questions

$If y = e^{x} \cdot \cot x then \frac{d y}{d x} will be$

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detailed solution

Correct option is C

y=excot⁡xdydx=exddxcot⁡x+cot⁡xdexdx ∵duvdx=udvdx+vdudx=ex−cosec2⁡x+cot⁡xex ∵ddxcot⁡x=−cosec2⁡xdexdx=ex=−cosec2⁡xex+excot⁡x

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If y=ex⋅cot⁡x then dydx will be

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$If y = e^{x} \cdot \cot x then \frac{d y}{d x} will be$