Unit 5-Analytical applications of differentiation

Lesson 5.1-The mean value theorem

Lesson 5.1-The Mean Value Theorem

Lesson 5.2 Extreme value theorem

Lesson 5.2-The Extreme Value Theorem

Lesson 5.3 Increasing and decreasing test

Lesson 5.3-Interval of Increasing/Decreasing Function

Lesson 5.4 The first derivative test

Lesson 5.4-The First Derivative Test

Lesson 5.5 Using the candidates test to determine absolute extrema

Lesson 5.5-The Candidates Test

Lesson 5.6 Determining concavity of functions over their domains

Lesson 5.6-Determining Concavity of Functions Over their Domain

Lesson 5.7 Using the second derivative test to determine extrema

Lesson 5.7-The Second Derivative Test Lesson 5.8-Sketching Graphs of Functions and their Derivatives

Lesson 5.9 Connecting a function, its first derivative and its second derivative

5.9-Connecting a Function, and its First and Second Derivatives

Lesson 5.10 Introduction to optimization problems

5.10-Optimization

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