JEE Main 2026 — Differentiation Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
Let . Then the value of is:
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Let , , . Then .
Taking derivatives: , , .
From : gives .
From : .
From : .
Substituting the first into the second: gives , so .
Then .
Taking derivatives: , , .
From : gives .
From : .
From : .
Substituting the first into the second: gives , so .
Then .
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This is a previous-year question from JEE Main 2026, 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.