Calculus

# Differentiation: definition and basic derivative rules

- Defining average and instantaneous rates of change at a point
- Defining the derivative of a function and using derivative notation
- Estimating derivatives of a function at a point
- Connecting differentiability and continuity: determining when derivatives do and do not exist
- Applying the power rule
- Derivative rules: constant, sum, difference, and constant multiple: introduction
- Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule
- Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x)
- The product rule
- The quotient rule
- Finding the derivatives of tangent, cotangent, secant, and/or cosecant functions

Calculus · series session

#### Differentiation: definition and basic derivative rules

To be continued.

Hind S

Calculus · session

#### Calculus Help for Sarah I

This session was created for Sarah I, but anyone is welcome to join!

Joe H

Calculus · series session

#### Differentiation: definition and basic derivative rules

I will give you a series of challenges that will get you to build the trig functions from scratch, find specific values, and find the derivative of sinx, cosx and tanx geometrically.

William W

Calculus · series session

#### Differentiation: definition and basic derivative rules

We will cover more of differentiation.

Devki M

Calculus · session

#### Ap calc ab review unit derivatives.

Review derivatives unit.

Jonathan C

Calculus · series session

#### Differentiation: definition and basic derivative rules

We will go over the definition of a derivative and the power rule.

Devki M

Calculus · series session

#### Differentiation: definition and basic derivative rules

We will go over some multiple choice and free response questions that are typical of the third unit taught (Differentiation part 2) It is suggested that you have gone through/reviewed the third unit of AP Calculus AB by this point -- either in school or on your own. Remember that the third unit heavily covers what is covered in unit 2 as well. If you have not, I will try my best to additionally cover any holes in content.

Hunter N

Calculus · session

#### More Derivatives

More derivatives that you'll need to remember and usages.

Kevin D

Calculus · session

#### Introduction to Differentiation + AP Style Questions

We'll be going into what differentiation really means and the intuition behind it. After that, we'll learn how actually to use math to calculate derivatives and their applications. Finally, we'll do AP-style questions in order to review. Be advised, pre-calculus and/or advanced algebra is a prereq for this course

Praneeth O

Calculus · session

#### Individual Derivative Practice

(For Sam S) We'll continue practicing derivatives

Siddharth S

Calculus · session

#### Individual Derivative Practice

(For Sam S) We'll continue practicing derivatives

Siddharth S

Calculus · series session

#### Differentiation: definition and basic derivative rules

We will go over some multiple choice and free response questions that are typical of the third unit taught (Differentiation part 2) It is suggested that you have gone through/reviewed the third unit of AP Calculus AB by this point -- either in school or on your own. Remember that the third unit heavily covers what is covered in unit 2 as well. If you have not, I will try my best to additionally cover any holes in content.

Hunter N

Calculus · session

#### Individual Practice Unit 2

Individual practice for Sam S

Siddharth S

Calculus · session

#### Start of Derivatives

This will be an overview of differentiation.

Kevin D

Calculus · series session

#### Differentiation: definition and basic derivative rules

We will go over some multiple choice and free response questions that are typical of the second unit taught (Differentiation part 1) It is suggested that you have gone through/reviewed the second unit of AP Calculus AB by this point -- either in school or on your own. If you have not, I will try my best to additionally cover any holes in content.

Hunter N

Calculus · session

#### Individual practice on basics of differentiation

We'll go over what constitutes differentiability, the power rule, and more!

Siddharth S

Calculus · session

#### Individual practice on basics of differentiation

We'll go over what constitutes differentiability, the power rule, and more!

Siddharth S

Calculus · series session

#### Differentiation: definition and basic derivative rules

We will learn about more differentiation formulas (for trigonometric functions, e^x, lnx, etc) and various rules like the chain, quotient, product, and power rules!

Devki M

Calculus · series session

#### Differentiation: definition and basic derivative rules

We will go over some multiple choice and free response questions that are typical of the second unit taught (Differentiation part 1) It is suggested that you have gone through/reviewed the second unit of AP Calculus AB by this point -- either in school or on your own. If you have not, I will try my best to additionally cover any holes in content.

Hunter N

Calculus · session

#### Start of Derivatives

The start of derivatives, the fundamentals of calculus.

Kevin D

Calculus · session

#### Intro into Differentiation - Basics

We will cover the basic rules of differentiation and try out a few sample questions.

Sachin M

Calculus · series session

#### Differentiation: definition and basic derivative rules

We will cover basic differentiation (think of it like a differentiation introduction).

Keira L

Calculus · series session

#### Differentiation: definition and basic derivative rules

We'll continue talking about derivatives

Akshaya C

Calculus · series session

#### Differentiation: definition and basic derivative rules

Problems with differentiation

Anant G