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Friday, 9 October

JEE Main Maths · Application of Derivatives

Critical vs Stationary Points

Critical vs Stationary Points (Application of Derivatives) was asked 2 times in 2 JEE Main shifts, 2024–2026, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2024–2026
Usual format
Numerical value
Multi-step
Pattern
New since 2024
repeats across shifts

How it is asked

  • Count critical points of modulus function
  • Parameter range for no critical points

Difficulty

Easy 0Medium 1Hard 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 2 questions

Newest first, each with its options and official answer.

  1. 2 Apr 2026, Shift 1 · Q18The number of critical points of the function f(x)={∣sin⁡xx∣,x≠01,x=0f(x)=\begin{cases}\left|\frac{\sin x}{x}\right|, & x\neq0\\ 1, & x=0\end{cases} in the…HardSingle correct
  2. 9 Apr 2024, Shift 2 · Q25Let the set of all values of pp, for which f(x)=(p2−6p+8)(sin⁡22x−cos⁡22x)+2(2−p)x+7f(x)=(p^2-6p+8)\left(\sin^2 2x-\cos^2 2x\right)+2(2-p)x+7 does not have any critical point,…MediumNumerical value