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Chapter 4 More Derivatives Section 4.1 Chain Rule.

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Presentation on theme: "Chapter 4 More Derivatives Section 4.1 Chain Rule."— Presentation transcript:

1 Chapter 4 More Derivatives Section 4.1 Chain Rule

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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