JEE Main 2022MathematicsContinuity and DifferentiabilityHardMCQ

JEE Main 2022 — Continuity and Differentiability Question with Solution

JEE Main 2022 (29 Jul Shift 1)

Question

The number of points, where the function f:R→R, fx=x-1cosx-2sinx-1+x-3x2-5x+4, is NOT differentiable, is

Choose an option

Show full solutionCorrect option: B
Correct answer
B2

Step-by-step explanation

Given,fx=x-1cosx-2sinx-1+x-3x2-5x+4

=x-1cosx-2sinx-1+x-3x-1x-4

=x-1cosx-2sinx-1+x-3x-4

We know that modulus function is not differentiable at values where modulus function is zero

So, we can say that function is non-differentiable at x=1 and x=4.

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About this question

This is a previous-year question from JEE Main 2022, 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.