MA101: Single-Variable Calculus I

6.1: Optimization

• Whitman College: David Guichard's "Calculus, Chapter 6: Applications of the Derivative, Section 6.1: Optimization" URL

  Read Section 6.1 (pages 115-124). An important application of the derivative is to find where a function takes its global maximum and its global minimum. The Extreme Value Theorem indicates how to approach this problem. Pay particular attention to the summary at the end of the section.
  

• Massachusetts Institute of Technology: David Jerison's "Related Rates" Page

  Watch this video until 45:00. The majority of the lecture is about optimization, despite its title.
  

• Whitman College: David Guichard's "Calculus, Chapter 6: Applications of the Derivative, Exercises 6.1: Problems 5, 7, 9, 10, 14, 16, 22, 26, 28, 33" URL

  Work through problems 5, 7, 9, 10, 14, 16, 22, 26, 28, and 33 for Exercise 6.1. When you are done, check your answers against Appendix A.