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Here are all my AP Calculus AB notes! Use cmd/ctrl + K to search for a specific topic, or see below for all topics covered in Mr. Schachter’s class.
Selected important stuff
Unit 3 Formula Sheet - MOST DERIVATIVE STUFF
By module/section
Module 2
- 2.1 - Intro to Limits
- 2.2 - Limits Involving Infinity
- 2.3 - Continuity
- 2.4 - Rates of Change and Tangent Lines
Module 3
- 3.1 - Alternate Definition of the Derivative
- 3.2 - Differentiability
- 3.3 - Basic Derivative Rules
- 3.4 - Velocity and Other Rates of Change
- 3.5 - Trig Derivatives
- 3.6 - The Chain Rule
- 3.7 - Implicit Differentiation
- 3.8 - Inverse Derivatives
- 3.9 - Exponential and Log Derivatives
- Unit 3 Formula Sheet - MOST DERIVATIVE STUFF
Module 4
- 4.1 - Extreme Values of Functions
- 4.2 - The Mean Value Theorem and Antiderivatives
- 4.3 - The First and Second Derivative Tests
- 4.4 - Optimization
- 4.6 - Related Rates
Module 5
- 5.1, 5.5 - Estimating With Finite Sums, Trapezoidal Rule
- 5.2 - Evolution of Integration
- 5.4 - The Fundamental Theorem of Calculus
Module 6
Module 7
Theorems
File | introduced in |
---|---|
The Sandwich Theorem | section 2 |
The Intermediate Value Theorem | section 2 |
3.6 - The Chain Rule | section 3 |
IVT For Derivatives | section 3 |
Differentiability implies continuity | section 3 |
The Extreme Value Theorem and Local Extreme Value Theorem | section 4 |
4.2 - The Mean Value Theorem and Antiderivatives | section 4 |
5.4 - The Fundamental Theorem of Calculus | section 5 |
L'Hopital's Rule | section 7 |
Concepts
File | introduced in |
---|---|
Properties of Limits | section 2 |
Basic Derivatives | section 2 |
3.5 - Trig Derivatives | section 3 |
3.3 - Basic Derivative Rules | section 3 |
Leibniz Notation | section 3 |
Graphing Derivatives | section 3 |
4.4 - Optimization | section 4 |
4.3 - The First and Second Derivative Tests | section 4 |
5.4 - The Fundamental Theorem of Calculus | section 5 |
U-Substitution for Integration | section 6 |
Separable Differential Equations | section 6 |
6.4 - Exponential Growth and Decay | section 6 |
Created by Siddharth Gupta, 2023-2024.