JEE Main 2012 — Application of Derivatives Question with Solution
JEE Main 2012 (26 May Online)
Question
Let be defined by
Statement 1: The function fhas a local extremum at
Statement 2: The function is continuous and differentiable on and
Choose an option
Show full solutionCorrect option: D
Correct answer
DStatement 1 is false, Statement 2 is true.
Step-by-step explanation
Let be defined by .
Clearly, is symmetric along and it has neither maxima nor minima.
Statement - 1 is false.
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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.