JEE Main 2021 · MathsNumerical answerNumerical valueEasyCalculation

JEE Main 4 August 2021, Shift 1, Maths Q85

Question 85 of 90 in this shift, Maths question 25 of 30, Section B.

The local minimum value of

\frac{(5+x)(2+x)}{(1+x)}

(x\neq-1)

, is ________.

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 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
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.