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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)log^(3)`

B

The least value of f(x) on `[(1)/(sqrt(3)),sqrt(3)]` is `(pi)/(3)-(1)/(4)log3`

C

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

D

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

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The correct Answer is:
A, B, C
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