If \( y=2 x+\cot ^{-1} x+\log \left(\sqrt{1+x^{2}}-x\right) \), the...

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If \( y=2 x+\cot ^{-1} x+\log \left(\sqrt{1+x^{2}}-x\right) \), then \( y \)
(a) decreases on \( (-\infty, \infty) \)
(b) decreases on \( [0, \infty) \)
(c) neither decreases nor increases on \( [0, \infty) \)
(d) increases on \( (-\infty, \infty) \)
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