Extreme Value Theorem

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

[@dpmike32819]

What piece of software are you using to do the problems?

[@vinteachesmath]

I use notability for my pen tutorials and smart notebook for my construction videos.

[@fortnitesweatkid]

Can you make an all geometric proofs video please? 🙏

[@vinteachesmath]

It will take me a little time to gather the materials, but I will make it my next one!

[@vinteachesmath]

I should mention that I am finishing up ap calculus unit 4, bit I will move proofs to next in my list

[@fortnitesweatkid]

@@vinteachesmath ohh you should also do IB mathematics if you have the time! It’s much harder than AP you should give it a try

[@fortnitesweatkid]

@@vinteachesmath Ok take your time

[@vinteachesmath]

Here is the video: czcams.com/video/lWY6RJbWIZ0/video.html

[@AnjuYadav-mi1gt]

sir can you please teach lines and angels its humble request i am class 9 student

[@vinteachesmath]

I will add it to the queue!