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Saturday, 31 October

JEE Main · Maths · Continuity and Differentiability

Implicit Chain Rule

JEE Main asked Implicit Chain Rule 2 times in 2 of the 108 shifts Lumi analysed, in 2020 and 2022. It belongs to Chain Rule, in Continuity and Differentiability (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2020
last in 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2022. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200’210.04’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 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
  • 20240 of 18
  • 20230 of 12
  • 20221 of 24
  • 20210 of 24
  • 20201 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: calculation.

  • Derivative expression on implicit curve
  • Implicit differentiation derivative at a point

Difficulty

Easy 0Medium 1Hard 1

1 of the 2 questions had a numerical answer.

Every question

All 2 questions

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

  1. 27 Jul 2022, Shift 2 · Q26For the curve C:(x2+y2−3)+(x2−y2−1)5=0C : (x^2 + y^2 - 3) + (x^2 - y^2 - 1)^5 = 0, the value of 3y′−y3y′′3y' - y^3 y'', at the point (α,α)(\alpha, \alpha), α>0\alpha > 0,…HardNumerical value
  2. 4 Sep 2020, Shift 1 · Q59If (a+2 bcos⁡x)(a−2 bcos⁡y)=a2−b2(a + \sqrt{2}\, b\cos x)(a - \sqrt{2}\, b\cos y) = a^2 - b^2, where a>b>0a > b > 0, then dxdy\frac{dx}{dy} at…MediumSingle correct

Shifts: 4 Sep 2020, Shift 1, 27 Jul 2022, Shift 2.

Same topic

Other ideas in Chain Rule

Chain Rule has 15 ideas JEE Main has asked; 8 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas