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Saturday, 31 October

JEE Main · Maths · Continuity and Differentiability

Derivative of Inverse Functions via Chain Rule

JEE Main asked Derivative of Inverse Functions via Chain Rule 4 times in 4 of the 108 shifts Lumi analysed, in 2020, 2022 and 2024. It belongs to Chain Rule, in Continuity and Differentiability (Maths). The longest wait between two years asking it was 2 years. In 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
3 of 8
First asked
2020
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2022 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200’210.04’220’230.09’240’250’26

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: 2 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
  • 20242 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

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

  • Derivative of inverse function at a point
  • Derivative of inverse function

Difficulty

Easy 2Medium 2Hard 0

Every question was multiple choice.

Every question

All 4 questions

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

  1. 5 Apr 2024, Shift 1 · Q8Let f(x)=x5+2x3+3x+1f(x)=x^5+2x^3+3x+1, x∈Rx\in\mathbb{R}, and g(x)g(x) be a function such that g(f(x))=xg(f(x))=x for all x∈Rx\in\mathbb{R}. Then…MediumSingle correct
  2. 4 Apr 2024, Shift 1 · Q11Let f(x)=x5+2ex/4f(x)=x^5+2e^{x/4} for all x∈Rx \in \mathbf{R}. Consider a function g(x)g(x) such that (g∘f)(x)=x(g\circ f)(x)=x for all x∈Rx \in \mathbf{R}.…MediumSingle correct
  3. 25 Jun 2022, Shift 1 · Q6Let f:R→Rf:\mathbf{R}\to\mathbf{R} be defined as f(x)=x3+x−5f(x)=x^3+x-5 If g(x)g(x) is a function such that f(g(x))=xf(g(x))=x, ∀\forall 'x'…EasySingle correct
  4. 9 Jan 2020, Shift 2 · Q60Let ff and gg be differentiable functions on R\mathbf{R} such that f∘gf\circ g is the identity function. If for some a,b∈Ra,b\in\mathbf{R},…EasySingle correct

Shifts: 9 Jan 2020, Shift 2, 25 Jun 2022, Shift 1, 4 Apr 2024, Shift 1, 5 Apr 2024, Shift 1.

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