JEE Main 2021 — Differentiation Question with Solution
From: JEE Main 2021 (Online) 26th August Morning Shift
Question
If y = y(x) is an implicit function of x such that loge(x + y) = 4xy, then at x = 0 is equal to ___________.
Enter your answer
Show full solutionCorrect answer: 40
Correct answer
40
Step-by-step explanation
ln(x + y) = 4xy (At x = 0, y = 1)
x + y = e4xy
At x = 0
At x = 0,
x + y = e4xy
At x = 0
At x = 0,
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Differentiation chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2021, 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.