JEE Main 2014 — Differentiation Question with Solution
JEE Main 2014 (12 Apr Online)
Question
Let and be two differentiable functions on such that and for all . Then for all :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Since and , therefore is increasing function and is decreasing function.
and
and
1)
Hence option (b) is correct.
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This is a previous-year question from JEE Main 2014, covering the Differentiation 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.