Lesson #30
The Chain Rule

Quote of the Day:
"I recoil with dismay and horror at this lamentable plague of functions which do not have derivatives. -- Charles Hermite

Objectives:
The student will learn two forms of the chain rule.

The student will apply the chain rule to differentiating functions.

1. Collect Homework.

2. Example:



Do this four different ways:

(1) Expand and use the power rule:



(2) Use the product rule:



(3) Use the chain rule:

There are two forms of the chain rule, and we will use both of them throughout the year.



(4) Now use both forms of the chain rule to solve the problem above:





3. Use this format when using the Chain Rule:



4. Examples

5. Assignment:
Read pages 209 - 213
p. 214 (1, 3, 5, 7, 11, 13, 17, 21)

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Send any comments or questions to: David Pleacher