JEE Main 2021 — Application Of Derivatives Question with Solution
From: JEE Main 2021 (Online) 26th February Morning Shift
Question
The maximum slope of the curve occurs at the point :
Choose an option
Show full solutionCorrect option: D
Correct answer
D(2, 2)
Step-by-step explanation
Given,
Slope M =
At max of slope
Now,
at
at x = 2 slope is maximum.
At x = 2,
y = 8 - 40 + 72 - 38 = 2
Required point = (2, 2)
Slope M =
At max of slope
Now,
at
at x = 2 slope is maximum.
At x = 2,
y = 8 - 40 + 72 - 38 = 2
Required point = (2, 2)
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This is a previous-year question from JEE Main 2021, 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.