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Questions  

If y = ex . cot x then dydx will be

a
excot x – cosec2x
b
ex cosec2x
c
ex[cot x – cosec2x]
d
excot x

detailed solution

Correct option is C

y=ex⋅cot⁡xdydx=exddx(cot⁡x)+cot⁡xddxex=ex−cosec2⁡x+cot⁡xex=excotx−cosec2⁡x

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