Unit 4: Chapter 4 - Applications of Differentiation
Duration of Days: 17
Students will know how to apply derivatives and differentiation to determine properties of functions and to solve real-life examples.
Students will apply their knowledge of derivatives in order to determine physical properties of graphs of functions, be able to optimize one variable given another (e.g. maximize volume with a given surface area), and be able to reverse the differentitaion process through anti-derivatives.
Students will collaborate during class and perform on individual assessments.
| Lesson # | Lesson Title | Duration of Days |
|---|---|---|
| 1 | 4.1 Maximum and Minimum Values | 3 |
| 2 | 4.2 The Mean Value Theorem | 2 |
| 3 | 4.3 How Derivatives Affect the Shape of a Graph | 3 |
| 4 | 4.4 Indeterminate Forms and L'Hospital's Rule | 3 |
| 5 | 4.7 Optimization Problems | 4 |
| 6 | 4.9 Antiderivatives | 2 |