JEE Main 2022 · MathsMultiple choiceOtherHardMulti-step

JEE Main 29 July 2022, Shift 1, Maths Q20

Question 20 of 90 in this shift, Maths question 20 of 30, Section A.

Let

f(x) = 3^{(x^2 - 2)^3 + 4}

x \in \mathbf{R}

. Then which of the following statements are true ? P :

x = 0

is a point of local minima of

f

Q :

x = \sqrt{2}

is a point of inflection of

f

R :

f'

is increasing for

x > \sqrt{2}

(1)Only P and Q
(2)Only P and R
(3)Only Q and R
(4)All P, Q and ROfficial answer

Official answer

Option 4

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Points of Inflection

Same topic in other shifts

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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.