JEE Main 2024 — Application Of Derivatives Question with Solution
From: JEE Main 2024 (Online) 6th April Morning Shift
Question
The interval in which the function , is strictly increasing is
Choose an option
Show full solutionCorrect option: D
Step-by-step explanation
First note that
Differentiating gives
Since , the sign of is the sign of . Hence
So is strictly increasing for all . Among the given choices that corresponds to
Option D: .
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This is a previous-year question from JEE Main 2024, 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.