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

If `f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x)` then `f(x)` increase in `(0,oo)` decrease in `[0,oo]` neither increases nor decreases in `[0,oo]` increase in `(-oo,oo)`

increasing in `[0,oo]`

decreasing in `[0,oo]`

neither increases nor decreases in`[0,oo]`

increases in `[-oo,oo]`

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A, D

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