JEE Main 2026 — Application of Derivatives Question with Solution
JEE Main 2026 (04 April Shift 2)
Question
is equal to:
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let . Since , we have .
The given expression becomes .
Differentiating with respect to :
For maximum value, :
Since , .
Substituting in :
The maximum value is .
Answer:
The given expression becomes .
Differentiating with respect to :
For maximum value, :
Since , .
Substituting in :
The maximum value is .
Answer:
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This is a previous-year question from JEE Main 2026, 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.