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Mastering the Chain Rule: Comprehensive Review & Solutions

Explore the versatile Chain Rule, including differentiating composite functions, parametrically defined functions, and the Power Chain Rule. Learn how to apply the Chain Rule effectively for trig functions. Solutions included.

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Mastering the Chain Rule: Comprehensive Review & Solutions

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  1. Chain Rule Chapter 4 More Derivatives Section 4.1

  2. Quick Review

  3. Quick Review

  4. Quick Review Solutions

  5. Quick Review Solutions

  6. What you’ll learn about • The Chain Rule for differentiating a composite function • The Chain Rule in prime and Leibniz notations • Differentiating parametrically defined functions • The Power Chain Rule • Using the Chain Rule to show how degree measure affects the calculus of trig functions … and why The chain rule is the most widely used differentiation rule in mathematics.

  7. Rule 8 The Chain Rule

  8. Example Derivatives of Composite Functions

  9. “Outside-Inside” Rule

  10. Example “Outside-Inside” Rule

  11. Example Repeated Use of the Chain Rule

  12. Slopes of Parametrized Curves

  13. Finding dy/dx Parametrically

  14. Power Chain Rule

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