Chapter 3, 4, & 5 Videos – Differential Calculus
The table below contains links to video tutorials from Khan Academy, Just Math Tutorials (aka PatrickJMT.com) and Krista King’s YouTube Channel (also kristakingmath.com).
| Limits | ||||||
|---|---|---|---|---|---|---|
| Introduction to Limits | Limit 1 | Limit 2 | ||||
| Limit Examples A | Example 1 | Example 2 | Example 3 | |||
| Limit Examples B | Example 4 | Example 5 | Example 6 | |||
| Squeeze Theorem | Example 1 | Example 2 | ||||
| Continuity | Example 1 | Example 2 | ||||
| Differentiabilty | Example 1 | Example 2 | Example 3 | |||
| Derivatives | ||||
|---|---|---|---|---|
| Definition of Derivative A | Example 1 | Example 2 | Example 3 | Example 4 |
| Definition of Derivative B | Example 5 | Example 6 | Example 7 | |
| Tangent line to a curve | Tangent line 1 | Tangent line 2 | ||
| Derivatives of Functions | Power Rule 1 | Power Rule 2 | Trig and Exponential | Exponential |
| Product Rule | Product 1 | Product 2 | Product w/Chain | |
| Quotient Rule | Quotient 1 | Quotient 2 | Quotient 3 | |
| Chain Rule A | Chain 1 | Chain 2 | Chain 3 | Chain 4 |
| Chain Rule B | Chain 5 | Chain 6 | Chain 7 | Chain 8 with factoring |
| Quotient-Product-Chain | Example 1 | Example 2 | Example 3 | Example 4 |
| Implicit Differentiation A | Implicit 1 | Implicit 2 | Implicit 3 | Implicit 4 |
| Implicit Differentiation B | Implicit 5 | Implicit 6 | Implicit 7 | Implicit 8 |
| Chapter 5 Applications of Derivatives | ||||
|---|---|---|---|---|
| Max/Min/1st deriv | Max/Min/Critical Values | Local Extrema | Maxima and Minima | |
| 2nd Derivative | Concavity | Inflection Pts | Graph w/Derivatives 1 | Graph w/Derivatives 2 |
| Mean Value Theorem | MVT 1 | MVT 2 | IVT 1 | |
| Optimization Applications 1 | Optimization 1 | Optimization 2 | Optimization 3 | Optimization 4 |
| Optimization Applications 2 | Optimization 5 | Optimization 7 | Optimization 7 | |
| Related Rates A | Related Rates 1 | Related Rates 2 | Related Rates 3 (cone) | Related Rates (ladder) |
| Related Rates B | Related Rates 5 (cars) | Related Rates 6 (shadow) | ||
