Calculus
Differentiation: composite, implicit, and inverse functions
- The chain rule: introduction
- The chain rule: further practice
- Implicit differentiation
- Differentiating inverse functions
- Differentiating inverse trigonometric functions
- Selecting procedures for calculating derivatives: strategy
- Selecting procedures for calculating derivatives: multiple rules
- Calculating higher-order derivatives
- Further practice connecting derivatives and limits
Register for a session to review this topic with a small group of learners.
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
- Live now!
We'll go over higher order derivatives
JL
Jonathan L
0
1/5
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
This session will cover extended differentiation through the chain rule and implicit differentiation, differentiating inverse functions and trig functions, and calculating multiple order derivatives (second and third derivatives).
NK
Noah K
0
0/20
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
Key topics:
1. The Chain Rule
2. Implicit Differentiation
The last 30 minutes will be office hours, feel free to ask any questions!
BL
JX
Jiarui X
0
1/5
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
Implicit differentiation, inverse functions, and higher-order derivatives!
SL
LG
Luca G
0
12/200
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
We will start with a warm up question and continue learning about derivatives!
Key topics:
1. Differentiating Inverse Functions
2. Differentiating Inverse Trigonometric Functions
Important note: I understand that these formulas are hard to memorize and are overwhelming! However, you NEED to remember these formulas in order to do well on your AP Calculus exam. Please don't be lazy!
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
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
- Review of composite functions
- Chain rule
- Implicit differentiation
- Differentiation of inverse functions
- Differentiation of inverse trig functions
- Higher-order derivatives
- L'Hôpital's rule
SL
PM
Piyush M
0
2/15
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
We will start with a warm up question and continue learning about derivatives!
Key topics:
1. Selecting Procedures for Calculating Derivatives
2. Calculating Higher Order Derivatives
Reminder:
FINAL EXAM on ALL THREE UNITS next class.
Please review everything we talked about, including the important theorems, and 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
1/5
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
We will start with a warm up question and continue learning about derivatives!
This is our FINAL LESSON for this series.
Key topics:
1. Using L’Hospital’s Rule for Determining Limits of Indeterminate Forms
2. Wrap up unit 3 and review!
Reminder:
FINAL EXAM on ALL THREE UNITS next class.
Please review everything we talked about, including the important theorems, and 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
1/5
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
This is the final unit for this series! We will continue learning about derivatives!
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
Key topics:
1. The Chain Rule
2. Implicit Differentiation
The last 30 minutes will be office hours, feel free to ask any questions!
BL
JX
Jiarui X
0
0/5
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
We will start with a warm up question and continue learning about derivatives!
Key topics:
1. Differentiating Inverse Functions
2. Differentiating Inverse Trigonometric Functions
Important note: I understand that these formulas are hard to memorize and are overwhelming! However, you NEED to remember these formulas in order to do well on your AP Calculus exam. Please don't be lazy!
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
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
We will start with a warm up question and continue learning about derivatives!
This is our FINAL lesson for this series.
Key topics:
1. Selecting Procedures for Calculating Derivatives
2. Calculating Higher Order Derivatives
Reminder:
FINAL EXAM on ALL THREE UNITS next class.
Please review everything we talked about, including the important theorems, and 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
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
NO warm up today!
Today is our FINAL EXAM!
30 MC questions in 60 minutes
This exam will be similar to the AP Calculus exam. If you do the math, you have 2 minutes to answer each questions. This is the same time that the AP Calculus exam offers you. This is a great practice exam to test your knowledge under pressed time!
Reminder:
Today is our FINAL session of this series, you all worked so hard for this and I hope you all have a great summer!
I will post a Google Form about your learning experience throughout this series and how I can become a better tutor!
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
Df
Calculus · series session
Differentiation: composite, implicit, and inverse functions
3.1 - When is the chain rule applied?
3.2 - How can we implicitly derive equations with inseparable y and x terms?
3.3 - What is the definition of a derivative of an inverse function?
3.4 - What are the derivatives of all inverse trig functions?
3.5 - Can you select procedures for evaluating derivatives efficiently?
3.6 - How do we find 2nd, or 3rd order derivatives?
BL
WB
William B
0
7/50
That's it for now!
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