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JEE Main20206 Sep 2020Evening ShiftMathematicsContinuity and DifferentiabilityActual

Let f : R → R be a function defined by f x = max x , x 2 .Let S denote the set of all points in R ,where f is not differentiable.Then :

Options

  1. A0 , 1
  2. B0
  3. Cϕ (an empty set)
  4. D1

Correct answer

A. 0 , 1

Step-by-step solution

From the graph we can say max x , x 2 has 2 sharp corners at x = 0 , 1 . ⇒ Function is non-derivable at x = 0   &   1

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