Articles containing proofs | Theorems in real analysis | Theorems in calculus
In mathematics, the mean value theorem (or Lagrange theorem) states, roughly, that for a given planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints. It is one of the most important results in real analysis. This theorem is used to prove statements about a function on an interval starting from local hypotheses about derivatives at points of the interval. More precisely, the theorem states that if is a continuous function on the closed interval and differentiable on the open interval , then there exists a point in such that the tangent at is parallel to the secant line through the endpoints and , that is, (Wikipedia).
Supplement: Mean Value Theorem
From playlist Beginning Scientific Computing
The Mean Value Theorem From Calculus Explanation and Example of Finding c
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From playlist Calculus 1 Exam 2 Playlist
Some exercises with the Mean Value Theorem. Finding witnesses to the theorem, bounding values, and proving limits to the number of possible roots.
From playlist 241Fall13Ex3
The Mean Value Theorem fall 2012
A statement of the MVT and some illustrations of its use
From playlist pExam3fall2012MAT241
Proof of the Mean Value Theorem
This video proves the Mean Value Theorem http://mathispower4u.com
From playlist Rolle’s Theorem and the Mean Value Theorem
This video explains the Mean Value Theorem and provides example problems. http://mathispower4u.wordpress.com/
From playlist Rolle’s Theorem and the Mean Value Theorem
Calculus 4.2 The Mean Value Theorem
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
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
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®
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
Mean Value Theorem for Integrals value(s) of c for f(x) = 7sqrt(x) over [4, 9]
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From playlist Calculus
Real Analysis Ep 29: Intermediate Value Theorem
Episode 29 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about uniform continuity & the intermediate value theorem. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Sta
From playlist Math 3371 (Real analysis) Fall 2020
Unit II: Lec 9 | MIT Calculus Revisited: Single Variable Calculus
Unit II: Lecture 9: Rolle's Theorem and its Consequences Instructor: Herb Gross View the complete course: http://ocw.mit.edu/RES18-006F10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Calculus Revisited: Single Variable Calculus
Calculus AB Homework 5.1 Rolle's and Mean Value Theorem
Download Packet: https://goo.gl/Cjrhyr ================================= AP Calculus AB / IB Math SL Unit 5: Existence Theorems and Particle Motion Lesson 1: Rolle's and Mean Value Theorem =================================
From playlist AP Calculus AB
In this video, I give a proof of the mean-value theorem in calculus, by reducing it to a special case of Rolle’s theorem. Featured at the end are also some bloopers, enjoy!
From playlist Differentiation
Find c guaranteed by the Mean Value Theorem for f(x) = x^7 over [0, 7]
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From playlist Calculus