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If f(x)=x*tan^(-1)x," then: "f'(1)=...

If `f(x)=x*tan^(-1)x," then: "f'(1)=`

A

`(pi)/(4)+(1)/(2)`

B

`(pi)/(4)-(1)/(2)`

C

`(1)/(2)-(pi)/(4)`

D

`-(pi)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
A
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