JEE Main Maths · Application of Derivatives

Higher-Order Derivative Roots

Higher-Order Derivative Roots (Application of Derivatives) was asked once in the 42 JEE Main shifts Lumi analysed, in 2022. 1 of the 1 had a numerical answer.

Times asked: 1; in 1 shift
Years: 2022
Usual format: Numerical value; Application
Pattern: Occasional; asked once so far

How it is asked

Least number of zeros of higher derivative

Difficulty

Easy 0Medium 1Hard 0

Where it sits

Chapter: Application of Derivatives. Topic: Rolle's Theorem, 2 questions over 2 ideas.

Every time it came

The question

Newest first, each with its options and official answer.

28 Jul 2022, Shift 1 · Q23Let $f:[0,1]\to\mathbf{R}$ be a twice differentiable function in $(0,1)$ such that $f(0)=3$ and $f(1)=5$ . If the line $y=2x+3$ intersects…MediumNumerical value