Find the derivative of (3cot⁡x+4cosec⁡x)

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−3cosec2⁡x−4cosec⁡xcot⁡x

3cosec2⁡x−5cosec⁡xcot⁡x

−3cosec2⁡x+5cosec⁡xcot⁡x

None of these

answer is A.

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Detailed Solution

Let y =3 cot x+ 4cosec xOn differentiating w.r.t. x, we getddx(y)=ddx(3cot⁡x+4cosec⁡(x)=3ddx(cot⁡x)+4ddx(cosec⁡x)=−3cosec2⁡x−4cosec⁡xcot⁡x

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