JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

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Analyzing +4 | -1

The function

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

is increasing on

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Correct option: D

\left( { - \infty ,\infty } \right)

Option D is correct because the derivative of the function is non-negative for all real numbers, indicating that the function is always increasing.

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0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)