Math 161 Calculus I

Reading Outlines

You should answer these questions as you read the text.

Section 4.6

1. Why the term ``optimization,'' instead of just maxima and mininima?
2. How is a critical point different from a stationary point?
3. Give an example of a function that doesn't have a global maximum, but has a global minimum.
4. Give an example of a function defined on an interval, which has a point in the interval where the derivative is undefined, which has no maximum or minimum.
5. Give an example of a bounded function only defined on an interval which has no maximum value.
6. What's the difference between the objective function and the constraint equation?
7. Why would someone want to solve Example 6?
8. What other reasons can you come up with that might explain why juice cans aren't the shape found in Example 10?