JEE Main 2018 — Application of Derivatives Question with Solution
JEE Main 2018 (15 Apr Shift 2 Online)
Question
Let be a polynomial of degree 4 having extreme values at and .
If then is equal to
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
has extremum values at and
and
As, is a polynomial of degree 4 .
Suppose
As limit has finite value, so and
Now
From equations (1) and (2), we get and
So,
Therefore,
Hence
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This is a previous-year question from JEE Main 2018, 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.