JEE Main 2012 — Application of Derivatives Question with Solution
JEE Main 2012 (Offline)
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 is true, statement is true; statement is a correct explanation for statement
Step-by-step explanation
has extremevalues and differentiable
are negative. has local maxima at
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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.