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Question

If y=ex.cotx then dy/dx will be


Your Answer
A
excotxcosec x
Your Answer
B
ex(cot2xcosec2x)
Correct Answer
C
ex(cotxcosec2x)
Your Answer
D
excotxcosec2x

Solution

The correct option is D ex(cotxcosec2x)
y=ex.cotxdydx  =exddx(cotx)+cotxddx(ex) =ex(cosec2x)+cotx(ex)=ex[cotxcosec2x]

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