JEE Main 2023 — Differentiation Question with Solution
From: JEE Main 2023 (Online) 6th April Morning Shift
Question
If , then at is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Given, ..........(i)
Let
On taking log both sides, we get
On differentiating both sides with respect to , we get
Also, let
On taking log both sides, we get
On differentiating both sides, we get
Now, from Equation (i),
On putting and , we get
Let
On taking log both sides, we get
On differentiating both sides with respect to , we get
Also, let
On taking log both sides, we get
On differentiating both sides, we get
Now, from Equation (i),
On putting and , we get
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This is a previous-year question from JEE Main 2023, 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.