Analytical Applications of Differentiation

Calculus AB · AP · AP

Using the Mean Value Theorem FUN-1 Existence theorems allow us to draw conclusions about a function’s behavior on an

Objectives

Using the Mean Value Theorem FUN-1 Existence theorems allow us to draw conclusions about a function’s behavior on an
Extreme Value Theorem, Global Versus Local Extrema, and Critical Points FUN-1
Determining Intervals on Which a Function Is Increasing or Decreasing FUN-4 A function’s derivative can be used to understand some behaviors
Using the First Derivative Test to Determine Relative (Local) Extrema FUN-4
Using the Candidates Test to Determine Absolute (Global) Extrema FUN-4
Determining Concavity of Functions over Their Domains § AP Online Teacher Community