In this video, I explore the Extreme Value Theorem. I show how to find the absolute maximum and absolute minimum values of a function on a closed interval. I also explore the concept of critical points, and continuity.

0:00 2:28 Intro and Concept of EVT
2:28 6:29 Q1: f(x) = xe^(x/2) on [0, 5]
6:29 9:54 Q2: h(x) = ln(x^2 + 6x + 10) on [4, 3]
9:54 17:47 Q3: g(x) = x^2 (7 x)^(2/3) on [1, 7.5]
17:47 26:00 Q4: Quadraticlinear piecewise function
26:00 33:45 Q5: More complicated piecewise function