alleryAnother function is continuous at a point. Must it also be differentiable there?
AYes, if it is linear
BNo, only if constant
CNo, not necessarily
DYes, in every case
Answer & Solution
Correct answer: C. No, not necessarily
1. The implication runs one way only.
2. A sharp corner is continuous but not smooth.
3. No, not necessarily.
_Source: OpenStax Calculus Volume 1, Chapter 3, Derivatives._
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