alleryThe derivative exists at a point only if the limit:
ARepeats
BExists
CVanishes
DDiverges
Answer & Solution
Correct answer: B. Exists
1. The derivative is defined as the value of a limit.
2. If that limit fails to exist, nothing is defined.
3. So the derivative exists wherever the limit exists.
_Source: syllabus Mathematics, Chapter 13, Limits and Derivatives._
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