NAHS AP Calculus Unit 3

 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 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) 6 Optimization Lesson 6 Critical HW Solutions Optimization Procedures/Plan Optimization Optimization of Profit Optimization of Geometry Optimization 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 2 Review for Unit 3 Major Assessment Solutions 