5.12 Exploring Behaviors of Implicit Relations
- Syllabus
- 2020
- Topic
- 5.12
- Level
- —
FUN-4.D—Determine critical points of implicit relations
- FUN-4.D Determine critical points of implicit relations.
- FUN-4.D.1 A point on an implicit relation where the first derivative equals zero or does not exist is a critical point of the function.
- Enduring understanding FUN-4: A function’s derivative can be used to understand some behaviors of the function.
FUN-4.E—Justify conclusions about the behavior of an implicitly defined function based on evidence from its derivatives
- FUN-4.E Justify conclusions about the behavior of an implicitly defined function based on evidence from its derivatives.
- FUN-4.E.1 Applications of derivatives can be extended to implicitly defined functions.
- FUN-4.E.2 Second derivatives involving implicit differentiation may be relations of x, y, and dy/dx.
- Enduring understanding FUN-4: A function’s derivative can be used to understand some behaviors of the function.
Objective notes
2 learning objectivesConceptAP Calculus BC