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Saturday, 31 October

JEE Main · Maths · Application of Derivatives

Chain Rule in Related Rates

JEE Main asked Chain Rule in Related Rates 5 times in 5 of the 108 shifts Lumi analysed, in 2020 and 2022. It belongs to Chain Rule, in Application of Derivatives (Maths). The longest wait between two years asking it was 2 years. In 2020 and 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
5
in 5 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.

00.10.20’170.17’200’210.11’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 2 in 12 shifts · 2021: 0 in 24 shifts · 2022: 3 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
  • 20223 of 24
  • 20210 of 24
  • 20202 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.

  • Related rates of sphere surface area and radius
  • Related rate of changing surface area

Difficulty

Easy 1Medium 4Hard 0

1 of the 5 questions had a numerical answer.

Every question

All 5 questions

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

  1. 25 Jun 2022, Shift 2 · Q11Water is being filled at the rate of 1 cm3/sec1\ \mathrm{cm}^3 / \mathrm{sec} in a right circular conical vessel (vertex downwards) of height 35…MediumSingle correct
  2. 24 Jun 2022, Shift 1 · Q3The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3…MediumSingle correct
  3. 27 Jul 2022, Shift 2 · Q25A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semi-vertical angle is…MediumNumerical value
  4. 3 Sep 2020, Shift 2 · Q59If the surface area of a cube is increasing at a rate of 3.6 cm2^2/sec, retaining its shape; then the rate of change of its volume (in…EasySingle correct
  5. 9 Jan 2020, Shift 1 · Q59A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness that melts at a rate of…MediumSingle correct

Shifts: 9 Jan 2020, Shift 1, 3 Sep 2020, Shift 2, 24 Jun 2022, Shift 1, 25 Jun 2022, Shift 2, 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