Unit 4: Differentiation Rules and Implicit Differentiation
Learning Outcome: Use differentiation rules to find derivatives of functions. Use implicit differentiation to find derivatives from relations.
Performance Criteria:
- Use the power rule and linearity properties to find derivatives.
- Use the product and quotient rules to find derivatives.
- Find higher derivatives; use correct notation for higher derivatives.
- Use the chain rule to find derivatives.
- Read
- Watch
- Do
- Chain Rule Practice Exercises
- Textbook Section 3.7: 11, 13, 17, 29, 31, 35, 43 3.6: 7 3.9: 3
- Web Exercises: Do 1, 2, 3, 6, 12
- Use implicit differentiation to find derivatives.
- Read
- Watch
- Do
- Textbook Section 3.10: 9, 11, 15, 19, 31
- Find the tangent line to a the graph of a function or relation at a point.
- Read
- Watch
- Do
- Textbook Section 3.6: 1, 25 3.10: 31, 33, 37
- Solve applied related rates problems.
- Read
- Watch
- Do
- Textbook Section 3.11: 1, 3, 5, 7, 9, 13, 21, 23, 25
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