If \[f(x)=2x+{{\cot }^{-1}}x+\log (\sqrt{1+{{x}^{2}}}-x)\], then \[f(x

1.	If \[f(x)=2x+{{\cot }^{-1}}x+\log (\sqrt{1+{{x}^{2}}}-x)\], then \[f(x)\]
A.	Increases in [0 ,\[\infty \])
B.	Decreases in [0 ,\[\infty \])
C.	Neither increases nor decreases in (0, \[\infty \])
D.	Increases in (?\[\infty \],\[\infty \])
Answer» B. Decreases in [0 ,\[\infty \])

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If \[f(x)=2x+{{\cot }^{-1}}x+\log (\sqrt{1+{{x}^{2}}}-x)\], then \[f(x)\]

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