JEE Main 2022MathematicsDifferentiationMethods Of DifferentiationmediumNumerical

JEE Main 2022Differentiation Question with Solution

From: JEE Main 2022 (Online) 29th June Evening Shift

Question

Let f and g be twice differentiable even functions on (2, 2) such that , , and , . Then, the minimum number of solutions of in is equal to ________.

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Correct answer
0

Step-by-step explanation

Let

As is even



and is even is odd

and ensures one root of is 0 .

So, has minimum five zeroes

,

has minimum 4 zeroes

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About this question

This is a previous-year question from JEE Main 2022, 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.