\( f(x)=2 x-\tan ^{-1} x-\log \left\{x+\sqrt{x^{2}+1}\right\} \) is monotonically increasing whe...

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\( f(x)=2 x-\tan ^{-1} x-\log \left\{x+\sqrt{x^{2}+1}\right\} \) is monotonically increasing when
(a) \( x0 \)
(b) \( x0 \)
(c) \( x \in R \)
(d) \( x \in R-\{0\} \)
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