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"If "f(x)+f(y)=f((x+y)/(1-xy))" for all ...

`"If "f(x)+f(y)=f((x+y)/(1-xy))" for all "x,y in R, (xyne1), and underset(xrarr0)lim(f(x))/(x)=2" then find "f((1)/(sqrt(3))) and f'(1).`

A

`2 tan^(-1)x`

B

`(1)/(2) tan^(-1)x`

C

`(pi)/(2) tan^(-1)x`

D

`2 pi tan^(-1) x`

Text Solution

Verified by Experts

The correct Answer is:
A
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