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