Рет қаралды 301
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: Quadratic-linear piecewise function
26:00 - 33:45 - Q5: More complicated piecewise function