5.7 Using the Second Derivative Test to Determine Extrema
- Syllabus
- 2020
- Topic
- 5.7
- Level
- —
FUN-4.A—Justify conclusions about the behavior of a function based on the behavior of its derivatives—Topic 5.7
- FUN-4.A Justify conclusions about the behavior of a function based on the behavior of its derivatives.
- FUN-4.A.7 The second derivative of a function may determine whether a critical point is the location of a relative (local) maximum or minimum.
- FUN-4.A.8 When a continuous function has only one critical point on an interval on its domain and the critical point corresponds to a relative (local) extremum of the function on the interval, then that critical point also corresponds to the absolute (global) extremum of the function on the interval.
- Enduring understanding FUN-4: A function’s derivative can be used to understand some behaviors of the function.
Objective notes
1 learning objectiveConceptAP Calculus AB