JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 30 January 2024, Shift 2, Maths Q9

Question 9 of 90 in this shift, Maths question 9 of 30, Section A.

Let

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

x \in [-4, 4]

. If

M

and

m

are the maximum and minimum values of

f

, respectively in

[-4, 4]

, then the value of

M - m

(1) $600$
(2) $392$
(3) $608$ Official answer
(4) $108$

Official answer

Option 3

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Closed Interval Extrema

Same idea in other shifts

Asked 5× in all

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25 Jul 2022, Shift 1 · Q6If the absolute maximum value of the function $f(x)=(x^2-2x+7)\,\mathrm{e}^{(4x^3-12x^2-180x+31)}$ in the interval $[-3,0]$ is…MediumSingle correct
24 Jun 2022, Shift 1 · Q12The sum of absolute maximum and absolute minimum values of the function $f(x)=|2x^2+3x-2|+\sin x\cos x$ in the interval $[0, 1]$ is :HardSingle correct

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.