JEE Main 2012 — Application Of Derivatives Question with Solution
From: AIEEE 2012
Question
Let be such that the function given by has extreme values at and
Statement-1 : has local maximum at and at .
Statement-2 : and
Choose an option
Show full solutionCorrect option: B
Correct answer
BStatement - 1 is true , Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1.
Step-by-step explanation
Given,
At
At
On solving and we get
Thus,
So maximum at
Hence both the statements are true and statement is a correct explanation for
At
At
On solving and we get
Thus,
So maximum at
Hence both the statements are true and statement is a correct explanation for
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This is a previous-year question from JEE Main 2012, 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.