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NTA Abhyas JEE Main2020MathematicsContinuity and DifferentiabilityPractice

The number of points at which the function f x = x - 0.5 + x - 1 + tan ⁡ x is not differentiable in the interval ( 0 ,   2 ) is/are

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

C. 3

Step-by-step solution

The curve will have sharp corner at x = 0.5 and at x = 1 and a point of discontinuity at x = π 2 . Hence, total number of points where the function is not differentiable is 3.

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