Chain rule for multivariable functions
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Intros
Lessons
- Chain Rule for Multivariable Functions Overview:
- A Review of Chain Rule
- What is the chain rule?
- alternate notation:
- 1st Case of Chain Rule for 2 Variable Functions
- Then
- An example
- 2nd Case of Chain Rule for 2 Variable Functions
- An example
- Using a Tree Diagram for Chain Rule
- Easier to find the chain rule for multivariable functions
- What it looks like
- Couple Examples
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Examples
Lessons
- Finding the Chain Rule for 2 Variable Functions
Given that , find . - Given that , find .
- Finding the Chain Rule for Implicit Functions
Given that , find . - Given that , find .
- Using the Tree Diagram to get the Chain Rule
Suppose , . Use the tree diagram and use the chain rule to find . - Suppose Use the tree diagram and use the chain rule to find .