JEE Main · Maths · Continuity and Differentiability

Higher Order Derivatives

JEE Main asked Higher Order Derivatives once in the 108 shifts Lumi analysed, on 30 Jul 2022, Shift 2. It belongs to Leibniz Rule, in Continuity and Differentiability (Maths).

Updated 2026-10-24

Times asked: 1; in 1 shift
Years: 1 of 8
First asked: 2022; the only year
Pattern: Occasional; asked once so far

Questions on this idea a shift, by year

2017–2026. Asked in 2022. 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: 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
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.

Higher derivatives of function with integral term

Difficulty

Easy 0Medium 0Hard 1

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.

30 Jul 2022, Shift 2 · Q70If $y(x) = \tan x - \int_0^{2x} (x^2 - xt + 1) \sin t\, dt$ , then at $x = \frac{\pi}{3}$ , the value of $2y''' - y''$ is equal toHardSingle correct

Shift: 30 Jul 2022, Shift 2.

Same topic

Other ideas in Leibniz Rule

Leibniz Rule has 5 ideas JEE Main has asked; 3 of them came up in more than one question.

Topic analysis Chapter analysis Study this chapter All repeated ideas