| Applications of Differentiation |
| Day |
Notes |
Critical Homework |
Videos |
| 1 |
Related Rates
|
Lesson 1 Critical HW |
Solutions
|
Related Rate Examples #1 & #2 & #3 & #4 & #5 & #6 |
| 2 |
Average & Instantaneous Rate of Change
|
Lesson 2 Critical HW |
Solutions
|
Using Average ROC to Approximate Instantaneous ROC Video 1& Video 2& Video 3 |
| 3 |
Theorems Involving Differentiation
|
Lesson 3 Critical HW |
Solutions
|
Extreme Value Theorem |
| Applying the Extreme Value Theorem |
| Finding Critical Numbers |
| Rolle's Theorem (and proving a horiz. tangent line) |
| Theory behind the Mean Value Theorem |
| Applying the Mean Value Theorem Example |
| 4 |
Increasing and Decreasing Functions & The First Derivative Test
|
Lesson 4 Critical HW |
Solutions
|
Intervals of Increase/Decrease |
| Finding Intervals of Increase/Decrease and Local Min/Max. |
| AP Example of Finding Intervals of Increase |
| Using First Derivative Test to Determine Relative Min/Max. |
| Interpreting the First Derivative Graph |
| Examples of Reading a First Derivative Graph to Determine Qualities of the Original Graph |
| 5 |
Concavity & the Second Derivative Test
|
Lesson 5 Critical HW |
Solutions
|
Concavity and Inflection Points |
| Finding Intervals of Concavity(Up & Down) |
| Finding Intervals of Concavity Using the First Derivative Graph |
| Analyzing Concavity (Graphical) |
| |
AP Classroom Practice for Lessons 1-5 (Solutions) |
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| 6 |
Optimization
|
Lesson 6 Critical HW |
Solutions
|
Optimization Procedures/PlanOptimizationOptimization of ProfitOptimization of GeometryOptimization of Volume (1 With Calculator) & (2 with Calculus) |
| 7 |
Inverse Functions & Slope
|
Lesson 7 Critical HW |
Solutions
|
Slopes of Inverse Functions |
| 8 |
Linearization and Tangent Line Approximation
|
Lesson 8 Critical HW |
Solutions
|
Tangent Line Approximation |
| Tangent Line Approximation Examples |
| 9 |
L'Hopitals Rule
|
Lesson 9 Critical HW |
Solutions
|
L'Hopitals Rule Part 1
L'Hopitals Rule Part 2 |
| |
AP Classroom Practice for Lessons 6-9 (Solutions) |
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| |
Review for Unit 3 Major Assessment
|
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Solutions
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