Optimization

Reading

Sections 15.7

Problems

• Practice Problems 15.7: 1, 2, 3, 5, 9, 19, 21, 35, 47
• Problems to turn in 15.7: 4, 6, 10, 36, 46
• Optional: 50

Topics to know

1. Definition of local extrema
2. Critical points and Fermat’s theorem
3. Second derivative test
4. Illustration for \(x^2+y^2\), \(x^2-y^2\), \(xy\)
5. Comparison of special cases to second derivative test
6. Global maxima, boundary