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JEE Main 2022 Mathematics question

MathematicsApplication of DerivativesJEE Main 2022

Let , x [−1, 1]. If [a, b] is the range of the function f then 4a − b is equal to :

Answer: (2)

Solution

− 4/(1 + on [−1, 1] (the terms with the inverse functions dominate), so f is decreasing and the range is [f(1), f(−1)]. With , : $f(1) =

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Question ID VK-025362