JEE Main 2019 — Continuity and Differentiability Question with Solution
JEE Main 2019 (11 Jan Shift 2)
Question
Let be the set of all real values of where the function is not differentiable.
Then the set is equal to :
Choose an option
Show full solutionCorrect option: A
Correct answer
A (an empty set)
Step-by-step explanation
There are two cases,
Case
Then, function is differentiable for all
Case
Then, function is differentiable for all
Now check for
Then, function is differentiable for So it is
differentiable everywhere
Hence,
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This is a previous-year question from JEE Main 2019, 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.