JEE Main 2023 — Application Of Derivatives Question with Solution
From: JEE Main 2023 (Online) 10th April Evening Shift
Question
Let and . If is decreasing in the interval and increasing in the interval , then is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
We have,
Differentiating both side, we get
As is an increasing function.
Also, is always symmetric about
So, is also symmetric about
is decreasing in the interval and increasing in the interval .
Now,
Differentiating both side, we get
As is an increasing function.
Also, is always symmetric about
So, is also symmetric about
is decreasing in the interval and increasing in the interval .
Now,
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This is a previous-year question from JEE Main 2023, 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.