JEE Main · Maths · Continuity and Differentiability

Zero Derivative Implies Constant Function

JEE Main asked Zero Derivative Implies Constant Function once in the 108 shifts Lumi analysed, on 5 Apr 2026, Shift 2. It belongs to Mean Value Theorem, in Continuity and Differentiability (Maths).

Updated 2026-10-24

Times asked: 1; in 1 shift
Years: 1 of 8
First asked: 2026; the only year
Pattern: New since 2024; asked once so far

Questions on this idea a shift, by year

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

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

Shift by shift

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

20261 of 9
20250 of 8
20240 of 18
20230 of 12
20220 of 24
20210 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.

Difference of functions with equal second derivatives

Difficulty

Easy 0Medium 1Hard 0

The question was multiple choice.

Every question

The question

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

5 Apr 2026, Shift 2 · Q20Let $f(x)$ and $g(x)$ be twice differentiable functions satisfying $f''(x)=g''(x)$ for all $x \in \mathbf{R}$ , $f'(1)=2g'(1)=4$ and…MediumSingle correct

Shift: 5 Apr 2026, Shift 2.

Same topic

Other ideas in Mean Value Theorem

Mean Value Theorem has 5 ideas JEE Main has asked; 1 of them came up in more than one question.

Proving Inequalities via LMVT3× · 2020
Proving Lipschitz Condition via LMVTonce · 2021
Finding the Mean Value Pointonce · 2020
Rolle's Theorem for Second Derivativeonce · 2020

Topic analysis Chapter analysis Study this chapter All repeated ideas