JEE Main Maths · Application of Derivatives

Graphical Root Counting

Graphical Root Counting (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

Count roots of function and its derivative

Difficulty

Easy 0Medium 1Hard 0

Where it sits

Chapter: Application of Derivatives. Topic: Curve Sketching, 2 questions over 2 ideas.

Every time it came

The question

Newest first, each with its options and official answer.

29 Jan 2024, Shift 1 · Q24Let $f(x)=2^x-x^2$ , $x\in\mathbb{R}$ . If $m$ and $n$ are respectively the number of points at which the curves $y=f(x)$ and $y=f'(x)$ …MediumNumerical value