JEE Main · Maths · Application of Derivatives
Auxiliary Functions: Product and Quotient Rules
JEE Main asked Auxiliary Functions: Product and Quotient Rules once in the 108 shifts Lumi analysed, on 29 Jun 2022, Shift 2. It belongs to Rolle's Theorem, in Application of Derivatives (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.
How JEE Main framed it
Numerical value is the usual form. Skill tested: multi-step.
- Minimum number of solutions via rolle on auxiliary function
Difficulty
1 of the 1 question had a numerical answer.
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.
Shift: 29 Jun 2022, Shift 2.
Same topic
Other ideas in Rolle's Theorem
Rolle's Theorem has 5 ideas JEE Main has asked; 2 of them came up in more than one question.
- Higher-Order Derivative Roots4× · 2024
- Polynomial Root Counting2× · 2022
- Parameter Evaluationonce · 2021
- Logarithmic Function Applicationonce · 2020