JEE Main 2019MathematicsContinuity and DifferentiabilityEasyMCQ

JEE Main 2019 — Continuity and Differentiability Question with Solution

JEE Main 2019 (10 Jan Shift 2)

Question

Let f:-1, 1→R be a function defined by fx=max-x, -1-x2. If K be the set of all points at which f is not differentiable, then K has exactly

Choose an option

Show full solutionCorrect option: C
Correct answer
Cthree elements

Step-by-step explanation

From the graph, it can be concluded that fx is non-differentiable at x=0,±12 in -1,1.

∴ At 3 points in -1,1.

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About this question

This is a previous-year question from JEE Main 2019, 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.