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Friday, 9 October

JEE Main Maths · Application of Derivatives

Finding Intervals

Finding Intervals (Application of Derivatives) was asked 3 times in 3 JEE Main shifts, 2021–2025, out of the 42 shifts Lumi analysed.

Times asked
3
in 3 shifts
Years
2021–2025
Usual format
Single correct
Application
Pattern
Occasional
repeats across shifts

How it is asked

  • Find intervals of monotonicity of rational function
  • Intervals where function is increasing

Difficulty

Easy 1Medium 2Hard 0

Where it sits

Chapter: Application of Derivatives. Topic: Monotonicity, 6 questions over 4 ideas.

Every time it came

All 3 questions

Newest first, each with its options and official answer.

  1. 8 Apr 2025, Shift 2 · Q17Let the function f(x)=x3+3x+3f(x) = \frac{x}{3} + \frac{3}{x} + 3, x≠0x \neq 0 be strictly increasing in…EasySingle correct
  2. 25 Jul 2021, Shift 1 · Q67Let f(x)=3sin⁡4x+10sin⁡3x+6sin⁡2x−3f(x)=3\sin^4x+10\sin^3x+6\sin^2x-3, x∈[−π6,π2]x\in\left[-\frac{\pi}{6},\frac{\pi}{2}\right]. Then, ff is :MediumSingle correct
  3. 16 Mar 2021, Shift 2 · Q64Let ff be a real valued function, defined on R−{−1,1}\mathbf R-\{-1,1\} and given by f(x)=3log⁡e∣x−1x+1∣−2x−1f(x)=3\log_e\left|\frac{x-1}{x+1}\right|-\frac{2}{x-1}.…MediumSingle correct