College Board AP Calculus BC calculus-bc · 5
Analytical Applications of Differentiation
- Code
- 5
- Topic of
- College Board AP Calculus BC calculus-bc
- Course
- AP Calculus BC calculus-bc
- Board
- College Board
Codes and titles are read by a script from College Board's published specification and have not been checked by a person. What each point covers is in the specification itself: College Board’s specification.
Points under 5
- 5.1 Using the Mean Value Theorem
- 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
- 5.3 Determining Intervals on Which a Function Is Increasing or Decreasing
- 5.4 Using the First Derivative Test to Determine Relative (Local) Extrema
- 5.5 Using the Candidates Test to Determine Absolute (Global) Extrema
- 5.6 Determining Concavity of Functions over Their Domains
- 5.7 Using the Second Derivative Test to Determine Extrema
- 5.8 Sketching Graphs of Functions and Their Derivatives
- 5.9 Connecting a Function, Its First Derivative, and Its Second Derivative
- 5.10 Introduction to Optimization Problems
- 5.11 Solving Optimization Problems
- 5.12 Exploring Behaviors of Implicit Relations
Topics in calculus-bc
- 1 Limits and Continuity
- 2 Differentiation: Definition and Fundamental Properties
- 3 Differentiation: Composite, Implicit, and Inverse Functions
- 4 Contextual Applications of Differentiation
- 5 Analytical Applications of Differentiation
- 6 Integration and Accumulation of Change
- 7 Differential Equations
- 8 Applications of Integration
- 9 Parametric Equations, Polar Coordinates, and Vector-Valued Functions
- 10 Infinite Sequences and Series