If $$f(x)=2x+$$$$cot$$$$-1x+log1+x2-x$$, then $$f(x)$$

Correct option is 1increases in [0,π)

Questions

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

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increases in [0,π)

decreases in [0,π)

neither increases nor decreases in (0,π)

4) None of these

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detailed solution

Correct option is A

f'(x)=2-11+x2+x1+x2-11+x2-x =2-11+x2-11+x2>0 In [0,π]

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If f(x)=2x+cot-1x+log1+x2-x, then f(x)

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