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If f(x)=[Tanpi//4+Tanx].[Tanpi//4+tan(pi...

If `f(x)=[Tanpi//4+Tanx].[Tanpi//4+tan(pi//4-x)]`and`g (x)=x(x+1)`, then the value of `g'[f(x)]` is equal to

A

`1/(1+x^2)`

B

`4`

C

`5`

D

`(2x)/(1+x^2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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