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Chain Rule

Chain Rule. Chapter 4. More Derivatives. Section 4.1. Quick Review. Quick Review. Quick Review Solutions. Quick Review Solutions. What you ’ ll learn about. The Chain Rule for differentiating a composite function The Chain Rule in prime and Leibniz notations

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Chain Rule

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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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