JEE Main 2022 Mathematics question

MathematicsApplication of DerivativesJEE Main 2022

If the maximum value of a, for which the function = is non-decreasing in (, ), is ā, then ā is equal to

Answer: (1)

Solution

= 2/(1 + on (, ) requires 2/(1 + ) for all such x. The minimum of the right side is at , where it equals 2/(1 + $π

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Question ID VK-025079