Extreme Value Theorem Using Critical Points
Calculus: The Extreme Value Theorem for a continuous function f(x) on a closed interval [a, b] is given. Relative maximum and minimum values are defined, and a procedure is given for finding maximums and minimums. Examples given are f(x) = x^2 - 4x on the interval [-1, 3], and f(x) =
From playlist Calculus Pt 1: Limits and Derivatives
What is the max and min of a horizontal line on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
Calculus: Absolute Maximum and Minimum Values
In this video, we discuss how to find the absolute maximum and minimum values of a function on a closed interval.
From playlist Calculus
How to determine the absolute max min of a function on an open interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
Find the max and min from a quadratic on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
Math 101 091317 Introduction to Analysis 06 Introduction to the Least Upper Bound Axiom
Definition of the maximum (minimum) of a set. Existence of maximum and minimum for finite sets. Definitions: upper bound of a set; bounded above; lower bound; bounded below; bounded. Supremum (least upper bound); infimum (greatest lower bound). Statement of Least Upper Bound Axiom (com
From playlist Course 6: Introduction to Analysis (Fall 2017)
Proof: Maximum of a Set is the Supremum | Real Analysis
The maximum of a set is also the supremum of the set, we will prove this in today's lesson! This also applies to functions, since the range of a function is just a set of values. So if a function takes on a maximum value m, then the maximum m is also the supremum of the function. Recall
From playlist Real Analysis
Maximum and Minimum Values (Closed interval method)
A review of techniques for finding local and absolute extremes, including an application of the closed interval method
From playlist 241Fall13Ex3
Find the max and min of a linear function on the closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
Math 2A. Calculus. Lecture 20. Max/Min
UCI Math 2A: Single-Variable Calculus (Fall 2013) Lec 20. Single-Variable Calculus -- Max/Min -- View the complete course: http://ocw.uci.edu/courses/math_2a_calculus_i.html Instructor: German A. Enciso, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More c
From playlist Math 2A: Calculus.
Worldwide Calculus: Extrema and the Mean Value Theorem
Lecture on 'Extrema and the Mean Value Theorem' from 'Worldwide Differential Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Single-Variable Calculus for AP®
Factorization through L2, Rounding and Duality Part 2 - Vijay Bhattiprolu
Computer Science/Discrete Mathematics Seminar II Topic: Factorization through L2, Rounding and Duality Part 2 Speaker: Vijay Bhattiprolu Affiliation: Member, School of Mathematics Date: November 24, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Real Analysis Ep 32: The Mean Value Theorem
Episode 32 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is more about the mean value theorem and related ideas. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker
From playlist Math 3371 (Real analysis) Fall 2020
In this video, I prove Rolle’s theorem, which says that if f(a) = f(b), then there is a point c between a and b such that f’(c) = 0. This theorem is quintessential in proving the mean-value theorem in Calculus. Along the way I prove Fermat’s theorem, which says that if f has a maximum/mini
From playlist Real Analysis
Calculus: We state and prove Rolle's Theorem - if f(x) is continuous on [a, b], f is differentiable on (a, b), and f(a) = f(b), then there is an x in (a, b) with f'(x) = 0. The examples of (a) f(x) = x^2 -5x + 6 on [2, 3], and (b) f(x) = sin(x) on [pi/4, 3pi/4] are given.
From playlist Calculus Pt 1: Limits and Derivatives
Calculus 4.1 Maximum and Minimum Values
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Math 2A. Calculus. Lecture 21. Mean Value Theorem.
UCI Math 2A: Single-Variable Calculus (Fall 2013) Lec 21. Single-Variable Calculus -- Mean Value Theorem -- View the complete course: http://ocw.uci.edu/courses/math_2a_calculus_i.html Instructor: German A. Enciso, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/
From playlist Math 2A: Calculus.
Calculus 1 (Stewart) Ep 22, Mean Value Theorem (Oct 28, 2021)
This is a recording of a live class for Math 1171, Calculus 1, an undergraduate course for math majors (and others) at Fairfield University, Fall 2021. The textbook is Stewart. PDF of the written notes, and a list of all episodes is at the class website. Class website: http://cstaecker.f
From playlist Math 1171 (Calculus 1) Fall 2021
Calculus AB Homework 5.2: Existence Theorems
Download Packet: https://goo.gl/Cjrhyr ================================= AP Calculus AB / IB Math SL Unit 5: Existence Theorems and Particle Motion Lesson 2: Existence Theorems =================================
From playlist AP Calculus AB
Maximum and Minimum of a set In this video, I define the maximum and minimum of a set, and show that they don't always exist. Enjoy! Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh
From playlist Real Numbers