JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 April 2024, Shift 1, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

Let

f(x)=x^5+2e^{x/4}

for all

x \in \mathbf{R}

. Consider a function

g(x)

such that

(g\circ f)(x)=x

for all

x \in \mathbf{R}

. Then the value of

8g'(2)

is :

(1) $2$
(2) $4$
(3) $8$
(4) $16$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Application of Derivatives
Topic: Chain Rule
Idea tested: Derivative of Inverse Functions via Chain Rule

Same idea in other shifts

Asked 4× in all

5 Apr 2024, Shift 1 · Q8Let $f(x)=x^5+2x^3+3x+1$ , $x\in\mathbb{R}$ , and $g(x)$ be a function such that $g(f(x))=x$ for all $x\in\mathbb{R}$ . Then…MediumSingle correct
25 Jun 2022, Shift 1 · Q6Let $f:\mathbf{R}\to\mathbf{R}$ be defined as $f(x)=x^3+x-5$ If $g(x)$ is a function such that $f(g(x))=x$ , $\forall$ 'x'…EasySingle correct
9 Jan 2020, Shift 2 · Q60Let $f$ and $g$ be differentiable functions on $\mathbf{R}$ such that $f\circ g$ is the identity function. If for some $a,b\in\mathbf{R}$ ,…EasySingle 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.