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Friday, 9 October

JEE Main Maths · Application of Derivatives

Extrema of Integral Functions (Leibniz Rule)

Extrema of Integral Functions (Leibniz Rule) (Application of Derivatives) was asked once in the 42 JEE Main shifts Lumi analysed, in 2024. 1 of the 1 had a numerical answer.

Times asked
1
in 1 shift
Years
2024
Usual format
Numerical value
Multi-step
Pattern
New since 2024
asked once so far

How it is asked

  • Extrema of integral-defined function

Difficulty

Easy 0Medium 0Hard 1

Where it sits

Chapter: Application of Derivatives. Topic: Maxima and Minima, 30 questions over 17 ideas.

Other repeat ideas in this topic

Every time it came

The question

Newest first, each with its options and official answer.

  1. 31 Jan 2024, Shift 1 · Q25Let S=(−1,∞)S=(-1,\infty) and f:S→Rf:S\to\mathbb{R} be defined as f(x)=∫−1x(et−1)11(2t−1)5(t−2)7(t−3)12(2t−10)61 dtf(x)=\int_{-1}^{x}(e^t-1)^{11}(2t-1)^5(t-2)^7(t-3)^{12}(2t-10)^{61}\,dt, Let p…HardNumerical value