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

Video 6.1: Absolute extreme values, Extreme Value Theorem (EVT)
Examples 16

Video 6.2: Fermat's Theorem, finding extreme values of continuous
functions on closed intervals
Examples 79

Video 6.3: Additional problems
Examples 1013

Video 6.4: Relative extreme points, critical points,
increasing and decreasing functions
Example 14

Video 6.5: Mean Value Theorem (MVT), geometric interpretation,
three consequences of MVT
Examples 1516

Video 6.6: First derivative test for increasing and decreasing
functions, method to apply the first derivative test
Examples 1719

Video 6.7: First derivative test for relative maxima and minima
Examples 2024

Video 6.8: Curve sketching
Example 25

Video 6.9: Concavity, second derivative test for concavity,
inflection points
Examples 2628

Video 6.10: Additional problems
Examples 2932