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JEE Main 2022 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2022

Let f(x) = min{1, 1 + x sin x}, . If m is the number of points, where f is not differentiable and n is the number of points, where f is not continuous, then the ordered pair (m, n) is equal to

Answer: (2)

Solution

x sin on [0, ] and on [, ]. So f(x) = 1 for and f(x) = 1 + x sin x for . At the two pieces agree (both equal 1), so f is

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Question ID VK-025258