2.4 Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist
- Syllabus
- 2020
- Topic
- 2.4
- Level
- —
FUN-2.A—Explain the relationship between differentiability and continuity
- FUN-2.A Explain the relationship between differentiability and continuity.
- FUN-2.A.1 If a function is differentiable at a point, then it is continuous at that point. In particular, if a point is not in the domain of f, then it is not in the domain of f '.
- FUN-2.A.2 A continuous function may fail to be differentiable at a point in its domain.
- Enduring understanding FUN-2: Recognizing that a function’s derivative may also be a function allows us to develop knowledge about the related behaviors of both.
Objective notes
1 learning objectiveConceptAP Calculus AB