JEE Main 2014 — Continuity and Differentiability Question with Solution
JEE Main 2014 (12 Apr Online)
Question
Let be two functions defined by and
Statement I: is a continuous function at .
Statement II: is a differentiable function at .
Choose an option
Show full solutionCorrect option: B
Correct answer
BBoth statement I and II are true.
Step-by-step explanation
a finite quantity between and 1
Also,
Thus
is continuous at
For
a finite quantity between and
Also
is continuous at
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 2014, 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.