alleryA function is known to be differentiable at a point. What follows about continuity there?
AIt is never defined
BIt must be continuous
CIt is not continuous
DIt may be continuous
Answer & Solution
Correct answer: B. It must be continuous
1. Differentiability is the stronger property.
2. Continuity comes with it.
3. It must be continuous.
_Source: OpenStax Calculus Volume 1, Chapter 3, Derivatives._
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