Unit 3: Applications of Derivatives
Lesson 1: Local and Absolute Extrema
Course Note: Extrema on an Interval
Homework: Extrema on an Interval
Videos:
Lesson 2: Related Rates
Course Note: Related Rates
Khan Academy Lesson: Analyzing Problems Involving Related Rates
Homework: Related Rates, Homework Key
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 3: Position, Velocity, and Acceleration
Course Note: Position, Velocity, and Acceleration
Homework: Position, Velocity, and Acceleration, Homework Key
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 4: The Mean Value Theorem
Course Note:
Homework: Mean Value Theorem & Rolle's Theorem, Homework Key
Videos:
Lesson 5: First and Second Derivative Test
Course Note:
Homework: The First Derivative Test, Homework Key, The Second Derivative Test, Homework Key
Videos:
Lesson 7: Optimization
Homework: Optimization
Videos: