differentiation

Question: If $f(x)=2x+{{\cot }^{-1}}x+\log (\sqrt{1+{{x}^{2}}}-x)$, then $f(x)$

1) Increases in [0 ,$\infty $)

2) Decreases in [0 ,$\infty $)

3) Neither increases nor decreases in (0, $\infty $)

4) Increases in (–$\infty $,$\infty $)

Solution:

Explanation: No Explanation

Increasing and Decreasing function

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