Unit 3: Applications of the Derivative
Lesson 1: Related Rates
Course Note: Related Rates
Khan Academy Lesson: Analyzing Problems Involving Related Rates
Homework: Related Rates
Videos: Introduction to Related Rates, Analyzing Related Rates Problems, Related Rates Example (P-Theorem), Related Rates Example (Trig), Differentiating Related Functions, Worked Example - Related Functions, Related Rates - Cars, Related Rates - Ladder, Related Rates - Water in Cone, Related Rates - Shadows, Related Rates - Balloon
Khan Academy Practice: Related Rates Problems: Expressions, Related Rates Problems: Equations, Differentiating Related Functions, Related Rates Intro, Related Rates - Multiple Rates, Related Rates (P-Theorem), Advanced Related Rates
Lesson 2: Position, Velocity, and Acceleration
Course Note: Position, Velocity, and Acceleration
Homework: Position, Velocity, and Acceleration
Videos: Introduction to One-Dimensional Motion, Direction of Motion from Position time Graphs, Direction of Motion from Velocity Time Graphs, Change in Speed from Velocity Time Graphs, Motion Problems with Derivatives
Khan Academy Practice: Interpreting Motion Graphs, Motion Problems with Derivatives
Lesson 3: Local and Absolute Extrema
Course Note: Extrema on an Interval
Homework: Extrema on an Interval
Videos:
Lesson 4: Mean Value Theorem
Course Note: Mean Value Theorem & Rolle's Theorem
Homework: Mean Value Theorem & Rolle's Theorem
Videos:
Lesson 5: First and Second Derivative Test
Course Note: The First Derivative Test (completed), The Second Derivative Test (completed)
Homework: The First Derivative Test, The Second Derivative Test
Videos:
Lesson 7: L'Hospitals Rule
Course Note: L'Hospitals Rule
Homework: L'Hospitals Rule
Videos: L'Hospitals Rule Introduction, Limit at 0 Example, Limit at Infinity Example
AP Practice Problems:
Khan Academy Practice: 0/0 Practice, Infinity/Infinity Practice