Chapter 6: Extreme values, the Mean Value Theorem, curve sketching and concavity

 

  1. Video 6.1: Absolute extreme values, Extreme Value Theorem (EVT)
    Examples 1-6
  2. Video 6.2: Fermat's Theorem, finding extreme values of continuous functions on closed intervals
    Examples 7-9
  3. Video 6.3: Additional problems
    Examples 10-13
  4. Video 6.4: Relative extreme points, critical points, increasing and decreasing functions
    Example 14
  5. Video 6.5: Mean Value Theorem (MVT), geometric interpretation, three consequences of MVT
    Examples 15-16
  6. Video 6.6: First derivative test for increasing and decreasing functions, method to apply the first derivative test
    Examples 17-19
  7. Video 6.7: First derivative test for relative maxima and minima
    Examples 20-24
  8. Video 6.8: Curve sketching
    Example 25
  9. Video 6.9: Concavity, second derivative test for concavity, inflection points
    Examples 26-28
  10. Video 6.10: Additional problems
    Examples 29-32