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JEE Main 2022 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2022

Let + 5| if , and if , where denotes the greatest integer less than or equal to . Then the number of points in R where f is not differentiable is .

Answer: 3

Solution

is negative for 1/4 < x < 1/2, so on this interval is a step function, while elsewhere (always positive).

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Question ID VK-024829