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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

`pi//2 + (1//2) log 3`

B

`pi//6 + (1//4) log 3`

C

`pi//6 + (1//2) log 3`

D

`pi//4 -(1//4) log 3`

Text Solution

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The correct Answer is:
B
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