JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 26 February 2021, Shift 1, Maths Q68

Question 68 of 90 in this shift, Maths question 8 of 30, Section A.

The maximum slope of the curve

y=\frac{1}{2}x^4-5x^3+18x^2-19x

occurs at the point :

(1) $(0, 0)$
(2) $(2, 2)$ Official answer
(3) $\left(3, \frac{21}{2}\right)$
(4) $(2, 9)$

Official answer

Option 2

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Second Derivative Test

Same idea in other shifts

Asked 3× in all

4 Aug 2021, Shift 1 · Q85The local minimum value of $\frac{(5+x)(2+x)}{(1+x)}$ , $(x\neq-1)$ , is ________.EasyNumerical value
4 Aug 2021, Shift 2 · Q87If $f$ be a twice differentiable function satisfying $f(x)=x^4+x^2f''(1)+f''(2)$ , then the modulus of the minimum value of $f(x)$ is equal…MediumNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.