JEE Main 2020MathematicsContinuity and DifferentiabilityMediumMCQ

JEE Main 2020 — Continuity and Differentiability Question with Solution

JEE Main 2020 (06 Sep Shift 2)

Question

Let f:R→R be a function defined by fx=max x,x2.Let S denote the set of all points in R,where f is not differentiable.Then :

Choose an option

Show full solutionCorrect option: A
Correct answer
A0,1

Step-by-step explanation

From the graph we can say maxx,x2 has 2 sharp corners at x=0,1.

⇒ Function is non-derivable at x=0 & 1

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About this question

This is a previous-year question from JEE Main 2020, covering the Continuity and Differentiability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.