JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 4 August 2021, Shift 2, Maths Q87

Question 87 of 90 in this shift, Maths question 27 of 30, Section B.

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 to ________.

Official answer

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
26 Feb 2021, Shift 1 · Q68The maximum slope of the curve $y=\frac{1}{2}x^4-5x^3+18x^2-19x$ occurs at the point :MediumSingle correct

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.