JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 8 April 2024, Shift 1, Maths Q8

Question 8 of 90 in this shift, Maths question 8 of 30, Section A.

The number of critical points of the function

f(x)=(x-2)^{2/3}(2x+1)

(1) $0$
(2) $1$
(3) $2$ Official answer
(4) $3$

Official answer

Option 3

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Cusp Extrema in Fractional Power 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 42 of the 174 JEE Main shifts held from 2017 to 2026.