1. Chapter 11 Section 11.1 Parametric, Vector, and Polar Functions
Parametric Functions

2. Quick Review

3. What you’ll learn about
The slope and concavity of a curve given by parametric functions
The length of a curve (arc length) given by parametric functions
…and why
Parametric equations enable us to define some
interesting and important curves that would be difficult
or impossible to define in the form y=f (x).

4. Example Reviewing Some Parametric Cur ves

5. Parametric Differentiation Formulas

6. Example Analyzing a Parametric Curve

7. Arc Length of a Parametrized Curve

8. Example Measuring a Parametric Curve

9. Cycloids