After completing this section, students should be able to do the following.

  • Define a critical point.
  • Find critical points.
  • Define local maximum and local minimum.
  • Classify critical points.
  • State the First Derivative Test.
  • Apply the First Derivative Test.
  • Define inflection points.
  • Find inflection points.
  • State the Second Derivative Test.
  • Apply the Second Derivative Test.