If y = e^(cot x )tan (xe^(x) ) ,then ( ...

If ` y = e^(cot x )tan (xe^(x) ) ,then ( dy)/(dx)=`

A

` e^(cot x)(e^(x) (x+1) )sec^(2) (xe^(x))+(cosec ^(2)x) tan ( xe^(x)))`

B

` e^(cot x)(e^(x) (x+1) )sec^(2) (xe^(x))-(cosec ^(2)x tan ( xe^(x)))`

C

` e^(cot x)(e^(x) (x-1) )sec^(2) (xe^(x))+ (cosec ^(2)x tan ( xe^(x)))`

D

` e^(cot x)(e^(x) (x-1) )sec^(2) (xe^(x))- (cosec ^(2)x tan ( xe^(x)))`

Text Solution

Verified by Experts

The correct Answer is:

B

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