JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 25 June 2022, Shift 2, Maths Q28

Question 28 of 90 in this shift, Maths question 28 of 30, Section B.

Let

f(x) = |(x-1)(x^2 - 2x - 3)| + x - 3

x \in \mathbb{R}

. If

m

and

M

are respectively the number of points of local minimum and local maximum of

f

in the interval

(0, 4)

, then

m + M

is equal to ____________.

Official answer

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Extrema of Modulus Functions

Same topic in other shifts

All Maxima and Minima questions

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.