JEE Main 2022 — Differential Equations Question with Solution
From: JEE Main 2022 (Online) 25th June Morning Shift
Question
Let be a differentiable function such that
, for all x > 0, where c is an arbitrary constant. Then :
Choose an option
Show full solutionCorrect option: D
Correct answer
Dg g' is increasing in
Step-by-step explanation
On differentiating both sides w.r.t. , we get
is increasing in
is decreasing function
let
is decreasing
let
is increasing
Hence option D is correct.
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This is a previous-year question from JEE Main 2022, covering the Differential Equations 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.