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JEE Advanced Mathematics question

MathematicsContinuity and DifferentiabilityJEE Advanced

Let , is a prime number and the greatest integer less than or equal to . The number of points at which is not differentiable is

Answer: (D)

Solution

Since is an integer, . On , . is constant (hence differentiable) except where equals an integer , , and there it jumps (so is not differentiable):

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Question ID VK-109323