Linearization and Newton’s Method

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Presentation transcript:

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

Quick Review

Quick Review Solutions

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.

Linearization

Example Finding a Linearization

Differentials

Example Finding the Differential dy

Differential Estimate of Change

Approximating the Change with Differentials

Example Estimating Change with Differentials

Procedure for Newton’s Method

Procedure for Newton’s Method

Using Newton’s Method

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