JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2026, Shift 2, Maths Q18

Question 18 of 75 in this shift, Maths question 18 of 25, Section A.

Let

f(x)

be a polynomial of degree 5, and have extrema at

x = 1

and

x = -1

. If

\lim_{x \to 0}\left(\frac{f(x)}{x^3}\right) = -5

, then

f(2) - f(-2)

is equal to:

(1) $0$
(2) $50$
(3) $92$
(4) $112$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Determining Unknown Coefficients from Extrema

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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.