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If f(x) = tan^(-1)x- 1/2 log x. Then...

If `f(x) = tan^(-1)x- 1/2 log x`. Then

A

the greatest value of `f(x)` on `[1//sqrt(3),sqrt(3)]` is `pi//6 + (1//4)ln 3`

B

the least value of `f(x)` on `[1//sqrt(3),sqrt(3)]` is `pi//3-(1//4)ln 3`

C

`f(x)` decreases on `(0, oo)`

D

`f(x)` increases on `(-oo, 0)`

Text Solution

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The correct Answer is:
A, B, C
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