JEE Main 2021 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 3 August 2021, Shift 2, Maths Q70

Question 70 of 90 in this shift, Maths question 10 of 30, Section A.

Let

f : \mathbb{R} \to \mathbb{R}

be a differentiable function such that

f(0) = 2

. If

\left|\frac{df}{dx}\right| \le 3

, for all

x \in \mathbb{R}

, then

f(1)

lies in the interval

(1) $[5, \infty)$
(2) $(-\infty, -1]$
(3) $[-1, 5]$ Official answer
(4) $(-\infty, -1) \cup (5, \infty)$

Official answer

Option 3

NTA final key.

Chapter: Application of Derivatives
Topic: Mean Value Theorem
Idea tested: Proving Lipschitz Condition via LMVT

Same topic in other shifts

All Mean Value Theorem questions

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.