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
Register for a session to review this topic with a small group of learners.
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
- Live now!
I plan to cover 2.3 and 2.4
AJ
Arhan J
0
2/10
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
This session will focus on following topics:
- Power rule
- Chain rule basics
- Chain rule and power rule misunderstandings
BL
WH
WASAY H
0
0/20
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
We will go over 1.5 - Derivatives and Rates of Change
BL
JS
Jason S
0
8/20
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
This session will cover a fundamental understanding of the derivative (through average and instantaneous rate of change), basic differentiation (power, product, and quotient rule), and the derivatives of trigonometric functions.
NK
Noah K
0
1/20
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
We will start with a warm up question and finish learning about basic derivatives (Unit2) !
This is the last topic of basic derivatives (Unit 2) and this class will be shorter than usual as we are only covering two key topics.
Key topic:
1. Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions
2. Wrap up unit 2 and review!
The last 30 minutes will be office hours, feel free to ask any questions about homework and other things!
BL
JX
Jiarui X
0
1/5
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
Differentiation! Rates of change, notation, basic rules, and basic functions.
SL
LG
Luca G
0
12/200
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
Topics:
- Identifying composite functions
- Derivative of
- Derivative of
BL
WH
WASAY H
0
0/20
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
We will go over 1.6 - The Derivative as a Function
BL
JS
Jason S
0
8/20
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
We will start by introducing basic derivatives (differentiation).
Key questions: What is a derivative? What does it mean?
Key topics:
1. Defining the Derivative of a Function and Using Derivative Notation
2. Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist
3. Applying the Power Rule Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist
Important note: This is the easiest derivative rule and more difficult ones will be discussed next class. Please start memorizing the rules starting in today's class.
The last 30 minutes will be office hours, feel free to ask any questions!
BL
JX
Jiarui X
0
0/5
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
- Average vs. instantaneous rates of change
- Limit definition of a derivative
- Differentiability criteria for a function
- Common derivatives to memorize
- Derivative rules for addition/subtraction
- Power rule
- Product rule
- Quotient rule
- Mean value theorem/Rolle's Theorem
SL
PM
Piyush M
0
2/15
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
We will start with a warm up question and continue learning about basic derivatives!
Key topics:
1. Derivatives of Cos(x), Sin(x), e^(x), and ln(x)
2. The Product Rule
3. The Quotient Rule
Important note: As you can see, we are learning more derivative rules and they are getting harder! Please start memorizing the rules!
The last 30 minutes will be office hours, feel free to ask any questions about homework and other things!
BL
JX
Jiarui X
0
0/5
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
Topics:
- Chain Rule with table
- Derivative of
- Derivative of
BL
WH
WASAY H
0
0/20
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
We will start with a warm up question and finish learning about basic derivatives!
This is the last topic of basic derivatives and this class will be shorter than usual as we are only covering two key topics.
Key topic:
1. Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions
2. Review for Unit 2 test!
Reminder:
Unit test on Differentiation: Definition and Basic Derivative Rules next class.
Please memorize ALL the derivative rules.
You do not need to take the test if you do not want to. The test is just for reviewing purposes and a way for you to check your understandings.
The last 30 minutes will be office hours, feel free to ask any questions about homework and other things!
BL
JX
Jiarui X
0
0/5
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
NO warm up today!
Today is our test day: Unit 2-Differentiation: Definition and Basic Derivative Rules
20 MC questions in 60 minutes
After 60 minutes, I will stay for another 30 minutes. Feel free to ask any questions about homework, the test, and other things!
BL
JX
Jiarui X
0
0/5
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
Topics:
- Introduction to implicit differentiation
- Worked examples
- Derivatives of inverse functions
_ Derivatives of inverse functions: Tables
BL
WH
WASAY H
0
0/20
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
Topics:
- Derivative of inverse sin
- Derivative of inverse cosine
- Derivative of inverse tangent
BL
WH
WASAY H
0
0/20
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
2.1 - What’s the limit definition of a derivative?
2.2 - How do we solve the limit form of a derivative?
2.3 - How can we estimate derivatives?
2.4 - What’s the definition of differentiability?
2.5 - What’s the power rule?
2.6 - How do we differentiate a function with multiple components?
2.7 - What are the derivatives for sin(x), cos(x), ex, and ln(x)?
2.8 - What is the product rule?
2.9 - What is the quotient rule?
2.10 - What are the derivatives of all trig functions?
BL
WB
William B
0
7/50
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
Topics:
- Selecting strategies in finding derivatives
- Differentiation: finding error
BL
WH
WASAY H
0
0/20
Dr
Calculus · series session
Differentiation: definition and basic derivative rules
Topics:
- Second derivatives
- Second derivatives (implicit equations)
- Connecting derivatives with limits
BL
WH
WASAY H
0
0/20
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