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

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

6/15

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 (Unit 4 topic but relates to Unit 1)

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

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

9/50

### That's it for now!

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