JEE Main 2024 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 29 January 2024, Shift 1, Maths Q9

Question 9 of 90 in this shift, Maths question 9 of 30, Section A.

Suppose

f(x)=\frac{(2^x+2^{-x})\tan x\sqrt{\tan^{-1}(x^2-x+1)}}{(7x^2+3x+1)^3}

. Then the value of

f'(0)

is equal to

(1) $0$
(2) $\sqrt{\pi}$ Official answer
(3) $\pi$
(4) $\frac{\pi}{2}$

Official answer

Option 2

NTA final key.

Chapter: Continuity and Differentiability
Topic: Chain Rule
Idea tested: Product Rule with Chain Rule

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