The greatest value of the function f(x)=...

The greatest value of the function `f(x)=tan^(- 1)x-1/2logx`
in `[1/(sqrt(3)),sqrt(3)]` is

A

(a) `pi/6+1/4log3`

B

(b) `pi/6-1/4log3`

C

(c) `pi/3-1/4log3`

D

(d) `pi/3-1/2log3`

Verified by Experts

The correct Answer is:

A

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