MA101: Single-Variable Calculus I

5.1: Maxima and Minima

• Whitman College: David Guichard's "Calculus, Chapter 5: Curve Sketching, Section 5.1: Maxima and Minima" URL

  Read Section 5.1 (pages 103-106). Fermat's Theorem indicates how derivatives can be used to find where a function attains its highest or lowest points.
  

• Massachusetts Institute of Technology: David Jerison's "Curve Sketching" Page

  Watch this video from 30:00 to the end. The lecture will make use of the first and second derivative tests, which you will read about below.
  

• Whitman College: David Guichard's "Calculus, Chapter 5: Curve Sketching, Exercises 5.1: Problems 1-12, 15" URL

  Work through problems 1-12 and 15 for Exercise 5.1. When you are done, check your answers against Appendix A.