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JEE Main 20206 SeptemberEvening Shift
Exam
JEE Main
Year
2020
Date
6 September
Shift
Evening Shift
Subject
Mathematics
Chapter
Continuity and Differentiability

JEE Main 2020 · 6 September · Evening Shift · Mathematics · Continuity and Differentiability

Let f: R → R be a function defined by f(x) = max\ x, x ^ 2 \ .Let S...

Let f:R→Rf: R \to R be a function defined by f(x)=max{x,x2}f\left(x\right) = max\left\{x, {x}^{2}\right\}.Let SS denote the set of all points in RR,where ff is not differentiable.Then :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

Options

  1. A{0,1}\left\{0, 1\right\}
  2. B{0}\left\{0\right\}
  3. Cϕϕ (an empty set)
  4. D{1}\left\{1\right\}

Correct answer

A. {0,1}\left\{0, 1\right\}

Step-by-step solution

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

From the graph we can say max{x,x2}max\left\{x, {x}^{2}\right\} has 22 sharp corners at x=0,1x = 0, 1.

⇒⇒ Function is non-derivable at x=0 and 1x = 0 \text{ and } 1

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