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Linearization and Newton’s Method

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Presentation on theme: "Linearization and Newton’s Method"— Presentation transcript:

1 Linearization and Newton’s Method
Chapter 5 Applications of Derivatives Section 5.5 Linearization and Newton’s Method

2 Quick Review

3 Quick Review Solutions

4 What you’ll learn about
Linear approximation Sensitivity analysis Differentials Newton’s method …and why Engineering and science depend on approximation in most practical applications; it is important to understand how approximation techniques work.

5 Linearization

6 Example Finding a Linearization

7 Differentials

8 Example Finding the Differential dy

9 Differential Estimate of Change

10 Approximating the Change with Differentials

11 Example Estimating Change with Differentials

12 Procedure for Newton’s Method

13 Procedure for Newton’s Method

14 Using Newton’s Method

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