JEE Main 2024 — Differentiation Question with Solution
From: JEE Main 2024 (Online) 4th April Evening Shift
Question
Let be a thrice differentiable function such that and . Then, the minimum number of zeros of is __________.
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Show full solutionCorrect answer: 3
Step-by-step explanation
and then
has atleast 4 real roots.
Then has atleast 3 real roots and has atleast 2 real roots.
Now we know that
Here has atleast 6 roots.
Then its differentiation has atleast 5 distinct roots.
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This is a previous-year question from JEE Main 2024, covering the Differentiation chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.