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Unit 5: Analytical Applications of Differentiation
AB 15–20% · BC 10–15% of multiple choice.
12 Lessons
Level 1
Mean Value Theorem
The Mean Value Theorem
Core
Level 2
Extreme Value Theorem and critical points
Extreme values and critical points
Core
Level 3
Increasing and decreasing intervals
Where a function increases or decreases
Core
Level 4
First-derivative extrema test
The first derivative test
Core
Level 5
Global extrema and endpoints
Absolute extrema on a closed interval
Core
Level 6
Concavity and inflection
Concavity and points of inflection
Core
Level 7
Second-derivative extrema test
The second derivative test
Core
Level 8
Sketch from derivative evidence
Sketching from derivative evidence
Core
Level 9
Connect f and derivative graphs
Connecting f, f' and f''
Core
Level 10
Build an optimization model
Building an optimization model
Core
Level 11
Solve and interpret optimization
Solving and interpreting optimization
Core
Level 12
Analyze implicit curves
Tangents on implicit curves
Core