Section 2.4: The Chain Rule
Key Concepts:
You can copy the examples shown or pause the video, do the example then play the video to check your answer and your steps! Be an active learner by doing, not just by watching!!
You can copy the examples shown or pause the video, do the example then play the video to check your answer and your steps! Be an active learner by doing, not just by watching!!
Prior Knowledge:
- What are Composite Functions?
- Composition of Functions (i. Explanation and ii. Example)
Lessons for Section 2.4:
The Chain Rule
1. Chain Rule (Click on Explanation to view proof of the Chain Rule and check solution for Problem 7)
2. Understanding the Chain Rule
1. Chain Rule (Click on Explanation to view proof of the Chain Rule and check solution for Problem 7)
2. Understanding the Chain Rule
3. How to Differentiate Composite Functions Using Chain Rule? (Explanation)
4. How to Differentiate Composite Functions Using Chain Rule? (Example)
5. Chain Rule and Power of a Function Rule in "Function Notation"
4. How to Differentiate Composite Functions Using Chain Rule? (Example)
5. Chain Rule and Power of a Function Rule in "Function Notation"
6. Chain Rule in Leibniz Notation
7. More on Applying Chain Rule in Leibniz Notation
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Applications of the Chain Rule (Combining with other Derivative Rules)
1. The General Power Rule or the Power of Function Rule (Explanation)
2. Applying Chain Rule (General Power Rule) with Product Rule (Example)
3. More on Applying Chain Rule with Product Rule
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Assigned Practices:
- eBook: Read p. 112 to 117
- eBook: Do exercises on p. 117 #1 to 9
- eBook: In-Class exercises p. 118 #10 to 13, #15