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If f(x)=2 x cot ^(-1)x + log (sqrt(1+x^2...

If `f(x)=2 x cot ^(-1)x + log (sqrt(1+x^2)-x ` then f(x)

A

Decreases on `(-oo,oo)`

B

Decreases on `[0,oo)`

C

Neither decreases nor increases on `[0,oo)`

D

Increases on `(-oo,oo)`

Text Solution

Verified by Experts

The correct Answer is:
D
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