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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 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.

3 Rule 8 The Chain Rule

4 Example Derivatives of Composite Functions

5 “Outside-Inside” Rule

6 Example “Outside-Inside” Rule

7 Example Repeated Use of the Chain Rule

8 Slopes of Parametrized Curves

9 Finding dy/dx Parametrically

10 Example 6 Find the line tangent to x = 2cos t, y = 2sin t when t = π/4.

11 Power Chain Rule

12 Example 7 a. Find dy/dx of b. Find dy/dx of

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