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Saturday, 31 October

JEE Main · Maths · Continuity and Differentiability

Finding Unknowns using Differentiability

JEE Main asked Finding Unknowns using Differentiability 3 times in 3 of the 108 shifts Lumi analysed, in 2021, 2023 and 2024. It belongs to Continuity and Differentiability (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
3 of 8
First asked
2021
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2023 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.03’210’220.07’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 1 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20250 of 8
  • 20241 of 18
  • 20231 of 12
  • 20220 of 24
  • 20211 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • Unknown constants from differentiability then integrate
  • Find constants for differentiable piecewise function

Difficulty

Easy 0Medium 3Hard 0

1 of the 3 questions had a numerical answer.

Every question

All 3 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 30 Jan 2024, Shift 2 · Q8Let aa and bb be real constants such that the function ff defined by…MediumSingle correct
  2. 8 Apr 2023, Shift 2 · Q25Let kk and mm be positive real numbers such that the function…MediumNumerical value
  3. 18 Mar 2021, Shift 1 · Q70If f(x)={1∣x∣; ∣x∣≥1ax2+b; ∣x∣<1f(x)=\begin{cases}\dfrac{1}{|x|} & ;\ |x|\ge1\\ ax^2+b & ;\ |x|<1\end{cases} is differentiable at every point of the domain, then the…MediumSingle correct

Shifts: 18 Mar 2021, Shift 1, 8 Apr 2023, Shift 2, 30 Jan 2024, Shift 2.

Same topic

Other ideas in Continuity and Differentiability

Continuity and Differentiability has 18 ideas JEE Main has asked; 13 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas