JEE Main 2014 — Application Of Derivatives Question with Solution
From: JEE Main 2014 (Offline)
Question
If and are differentiable functions in satisfying
and then for some
and then for some
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Since, and both are continuous function on
and differentiable on then such that
and
Thus, we get
and differentiable on then such that
and
Thus, 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.