Unit 13: Limits & Derivatives

Click on the individual lessons for a copy of the notes.

Lesson 1: Limits & Convergence

Limits Intro Video

Ex 7A (pg 197); Ex 7B (pg 200)

Lesson 2: Tangent Lines & Derivatives Part I

Definition of a Derivative Video

Slope of secant Lines Video

Power Rule Video

Ex 7C (pg 201); Ex 7D (pg 202); Ex 7E (pg 203)

Lesson 3: Derivatives Part II

Basic Derivative Rules Video

Derivatives of Trigonometric Functions Video

Ex 7F (pg 205); Ex 7G (pg 207)

Lesson 4: More Rules for Derivatives

Product Rule Video

Quotient Rule Video

Derivative of e Video

Derivative of ln Video

Ex 7H (pg 210); Ex 7I (pg 212)

Lesson 5: More Complex Derivatives

More Complex Functions Video

Ex 7J (pg 214)

Lesson 6: Chain Rule & Higher Order Derivatives

Chain Rule Video

Higher Order Derivatives Video

Ex 7K (pg 217); Ex 7L (pg 219); Ex 7M (pg 221)

Lesson 7: Rates of Change & Motion in a Line

One-dimensional Motion Video

Ex 7N (pg 223); Ex 7O (pg 225); Ex 7P (pg 229)

Lesson 8: The Derivative & Graphing

Extreme Value Theorem Video

Decreasing Interval for Functions Video

Relative Extrema for Functions Video

Inflection Points Video

Ex 7Q (pg 232); Ex 7R (pg 234); Ex 7S (pg 236)

Lesson 9: Graphing Functions

Curve Sketching Video

Ex 7T (pg 239); Ex 7U (pg 240)

Lesson 10: Optimization Problems

Optimization Problems Part I Video

Optimization Problems Part II Video

Ex 7V (pg 242); Ex 7W (Pg 244); Ex 7X (pg 246); Ex 7Y (pg 248)

Lesson 11: Review

Review Exercise Pg 248

Limits & Derivatives Worksheet 6.1

Limits & Derivatives Worksheet 6.1 KEY

Limits & Derivatives Worksheet 6.2 KEY

Limits & Derivatives Worksheet 6.3/6.4

Limits & Derivatives Worksheet 6.3/6.4 KEY

Lesson 12: Test