Module 5

Mod 5 Review & AP Practice

Module 5 Study Guide

AP Practice:  Applications of Derivatives (Mod 4 & 5)

AP Concepts Sheet

Watch the Unit 5 Review from CollegeBoard

• Unit 5 Review, Analytic Applications of the Derivative

5.02 - Mean Value and Extreme Value Theorem

Video - Using the Mean Value Theorem

Video-Extreme Value Theorem and Applications

5.03 - Determining Function Behavior and the 1st Derivative Test

Video- Finding Critical Points

Video: Determining Intervals where a Function is increasing or decreasing

Video: Using the first derivative test to determine relative Extrema

Video: Common Errors Made when Finding Extrema

5.04 Using the Candidates Test to Determine Absolute Extrema

Video: Finding Extrema on a Closed Interval

Video: Absolute Extrema on the entire Domain

5.05 Determining Concavity of Functions and the 2nd Derivative Test

Video: Analyzing Concavity Graphically Dba tip

Video: Inflection Points

Video: Analyzing Concavity Algebraically 

Video: Inflection Points Algebraically 

Video: Common Errors

Video: Second Derivative Test to Find Extrema

5.07 Connecting Graphs of Functions and Their Derivatives

Video: Curve Sketch Example

Video: Justification Using the First Derivative *Dba Tip

Video: Justification Using the Second Derivative *Dba Tip

Video: Justification Using the Second Derivative (Maximum Point)

Video: Connecting F, F', and F"

5.08 Optimization Problems

Video: Optimization- Sum of Squares

Video: Optimization- Volume of a Box Part 1

Video:Optimization- Volume of a Box Part 2

Video: Optimization- Profit

Video:Optimization- Cost of Materials

Video:Optimization- Area of Triangle and Square Part 1

Video: Optimization-Area of Triangle and Square Part 1

Video: Optimization-Motion

5.09 Exploring Behaviors of Implicit Functions

Video: Finding Horizontal Tangents to a Curve