HARRELL RENTZ
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Standard D04: Finding Derivatives Using Chain Rule 

Standard D04 Overview:
standard_d04.pdf
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File Type: pdf
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standard_d04.docx
File Size: 52 kb
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Objectives & Resources:
1. Understand that the derivative of a function is defined as the limit of a difference quotient and can be determined using a variety of strategies, including the "Chain Rule." [EU2.1]

2. Know that the Chain Rule provides a way to differentiate functions created by "composing" other functions. These "composed functions" can also be called "composite functions." [EK 2.1C4]
  • Desmos Activity: Exploring the Derivative of Composite Functions
  • Khan Academy: Chain rule introduction
  • Khan Academy: Practice: Identify composite functions​
  • (optional) Discovering the chain rule graphically (Sheldon P. Gordon's teacher's guide that inspired the Desmos Activity above)
gordon_discovering-chain-rule.pdf
File Size: 114 kb
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​3. Understand why the Chain Rule works the way it does.
  • Textbook 3.4, page 151: Intuition behind the chain rule
Picture
  • Textbook 3.4, page 151: The Chain Rule (Leibniz Notation)
Picture
  • Textbook 3.4, page 152: The Chain Rule (Lagrange Notation)
Picture
4. Be able to calculate derivatives using the Chain Rule. [LO 2.1C]
  • Khan Academy: Worked example: Derivative of cos³(x) using the chain rule
  • Khan Academy has several other worked out example videos! (not listed here)
  • Khan Academy: Practice: Chain rule intro
  • Khan Academy: Practice: Chain rule with tables
  • Khan Academy: Practice: Chain rule capstone
  • Sample Assessment Items: Textbook Exercises 3.4 (pages 155-157) 1-29 ODD, 35, 39, 43, 57, 59, 61, 63, 67, 71, 73. (See solutions under Husky Hub Topics.)
  • Sample Assessment Items: Textbook Exercises 3.5 (pages 162-164) 5, 7, 11, 13, 15, 17, 19, 21, 23, 25, 27, 43, 45, 49, 59, 65.
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