JEE Main 2014 — Application Of Derivatives Question with Solution
From: JEE Main 2014 (Offline)
Question
If and are extreme points of then
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Let
Differentiating both sides,
Since and are extreme points therefore
at these points.
Put and in
we get
On solving and , we get
Differentiating both sides,
Since and are extreme points therefore
at these points.
Put and in
we get
On solving and , we get
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This is a previous-year question from JEE Main 2014, 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.