JEE Main 2022MathematicsApplication Of DerivativesMaxima And MinimamediumNumerical

JEE Main 2022Application Of Derivatives Question with Solution

From: JEE Main 2022 (Online) 25th July Evening Shift

Question

The sum of the maximum and minimum values of the function in the interval , where is the greatest integer , is ______________.

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Show full solutionCorrect answer: 15
Correct answer
15

Step-by-step explanation

Critical points of

Maximum or minimum value of occur at critical points or boundary points

as both and are increasing in nature after

and

Sum is

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About this question

This is a previous-year question from JEE Main 2022, covering the Application Of Derivatives 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.