Learn

Friday, 9 October

JEE Main Maths · Application of Derivatives

Closed Interval Extrema

Closed Interval Extrema (Application of Derivatives) was asked 5 times in 5 JEE Main shifts, 2022–2026, out of the 42 shifts Lumi analysed.

Times asked
5
in 5 shifts
Years
2022–2026
Usual format
Single correct
Calculation
Pattern
Frequent
repeats across shifts

How it is asked

  • Max of trig expression on interval
  • Absolute extrema on interval from critical points

Difficulty

Easy 0Medium 4Hard 1

Where it sits

Chapter: Application of Derivatives. Topic: Maxima and Minima, 30 questions over 17 ideas.

Other repeat ideas in this topic

Every time it came

All 5 questions

Newest first, each with its options and official answer.

  1. 4 Apr 2026, Shift 2 · Q12max⁡0≤x≤π(16sin⁡(x2)cos⁡3(x2))\max_{0\le x\le\pi}\left(16\sin\left(\frac x2\right)\cos^3\left(\frac x2\right)\right) is equal to:MediumSingle correct
  2. 7 Apr 2025, Shift 1 · Q17Let x=−1x = -1 and x=2x = 2 be the critical points of the function f(x)=x3+ax2+blog⁡e∣x∣+1f(x) = x^3 + ax^2 + b\log_e|x| + 1, x≠0x \neq 0. Let mm and MM…MediumSingle correct
  3. 30 Jan 2024, Shift 2 · Q9Let f(x)=(x+3)2(x−2)3f(x) = (x+3)^2 (x-2)^3, x∈[−4,4]x \in [-4, 4]. If MM and mm are the maximum and minimum values of ff, respectively in [−4,4][-4, 4], then…MediumSingle correct
  4. 25 Jul 2022, Shift 1 · Q6If the absolute maximum value of the function f(x)=(x2−2x+7) e(4x3−12x2−180x+31)f(x)=(x^2-2x+7)\,\mathrm{e}^{(4x^3-12x^2-180x+31)} in the interval [−3,0][-3,0] is…MediumSingle correct
  5. 24 Jun 2022, Shift 1 · Q12The sum of absolute maximum and absolute minimum values of the function f(x)=∣2x2+3x−2∣+sin⁡xcos⁡xf(x)=|2x^2+3x-2|+\sin x\cos x in the interval [0,1][0, 1] is :HardSingle correct