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JEE Main 2022 Mathematics question

MathematicsApplication of DerivativesJEE Main 2022

Let for and f(x) = −2x + for x > 1. Then the set of all values of b, for which f(x) has maximum value at x = 1, is

Answer: (3)

Solution

For f to have its maximum at x = 1 we need (the first piece is increasing up to x = 1 since , and f(1) = 1 − 1 + 10 − 7 = 3). So −2 +

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Question ID VK-025172