JEE Main 2009 — Differentiation Question with Solution
From: AIEEE 2009
Question
Let be an implicit function of defined by . Then equals
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
where
Differentiating both sides with respect to
we get
where
We get
Now when
gives
From equation at
and we get
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 2009, 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.