JEE Main 2009 — Continuity and Differentiability Question with Solution
JEE Main 2009
Question
Let and .
Statement-1 : gof is differentiable at and its derivative is continuous at that point.
Statement-2 : gof is twice differentiable at .
Choose an option
Show full solutionCorrect option: C
Correct answer
CStatement-1 is true, Statement-2 is false
Step-by-step explanation
Clearly, L(gof )'
gof is differentiable at and also its derivative is continuous at
is not twice differentiable at .
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This is a previous-year question from JEE Main 2009, 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.