JEE Main 2012 — Continuity and Differentiability Question with Solution
JEE Main 2012 (26 May Online)
Question
If , where , is differentiable at , then
Choose an option
Show full solutionCorrect option: D
Correct answer
D is any real number
Step-by-step explanation
and are not differentiable at and is differentiable at . for to be differentiable at , we must have and is any real number.
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Continuity and Differentiability 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 2012, covering the Continuity and Differentiability 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.