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JEE Main 2022 Mathematics question

MathematicsApplication of DerivativesJEE Main 2022

Let f(x) = |(x − − 3)| + x − 3, x ℝ. If m and M are respectively the number of points of local minimum and local maximum of f in the interval (0, 4), then m + M is equal to .

Answer: 3

Solution

f(x) = |(x − 1)(x + 1)(x − 3)| + (x − 3). For : , with . For : ... = with . For 0 < x < 1: , with 3x^{2}$

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Question ID VK-024921