Calculus BC

Topic 5.1 Using the Mean Value Theorem

Topic 5.2 Extreme Value Theorem, Global vs. Local Extrema, and Critical Points

Topic 5.3 Determining Intervals on Which a Function is Increasing or Decreasing

Topic 5.4 Using the First Derivative Test to Determine Relative (Local) Extrema

Topic 5.5 Using the Candidates Test to Determine Absolute (Global) Extrema

Topic 5.6 Determing Concavity of Functions over Their Domains

Topic 5.7 Using the Second Derivative Test to Determine Extrema

Topic 5.8 Sketching Graphs of Functions and Their Derivatives

Topic 5.9 Connecting a Function, Its First Derivative, and Its Second Derivative

Topic 5.10 Introduction to Optimization Problems

Topic 5.11 Solving Optimization Problems

Topic 5.12 Exploring Behaviors of Implicit Relations