Articles containing proofs | Theorems in real analysis | Theorems in calculus

Rolle's theorem

In calculus, Rolle's theorem or Rolle's lemma essentially states that any real-valued differentiable function that attains equal values at two distinct points must have at least one stationary point somewhere between them—that is, a point where the first derivative (the slope of the tangent line to the graph of the function) is zero. The theorem is named after Michel Rolle. (Wikipedia).

Rolle's theorem
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Proof: The Angle Bisector Theorem

This video states and proves the angle bisector theorem. Complete Video List: http://www.mathispower4u.yolasite.com

From playlist Relationships with Triangles

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Geometry Crash Course - Theorems for Congruent Triangles

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From playlist Geometry Crash Course

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Pythagorean Theorem VII (visual proof)

This is a short, animated visual proof of an extended version of the Pythagorean theorem (the right triangle theorem) that implies the Pythagorean theorem. This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths, and

From playlist Proof Writing

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What is the formula for the law of sines

👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.

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Congruent Polygons & Third Angle Theorem

I define congruent polygons and prove the Third Angle Theorem. EXAMPLES AT 4:28 10:40 16:24 22:25 Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage

From playlist Geometry

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From playlist Law of Sines | Learn About

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From playlist Pythagorean Theorem

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How to label an oblique triangle

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From playlist Law of Sines | Learn About

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Visual Proof of Pythagoras' Theorem

More resources available at www.misterwootube.com

From playlist Pythagoras’ Theorem

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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

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Calculus 1 (Stewart) Ep 22, Mean Value Theorem (Oct 28, 2021)

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From playlist Math 1171 (Calculus 1) Fall 2021

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Worldwide Calculus: Extrema and the Mean Value Theorem

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From playlist Worldwide Single-Variable Calculus for AP®

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Calculus AB Homework 5.1 Rolle's and Mean Value Theorem

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From playlist AP Calculus AB

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Rolle's Theorem

This calculus video tutorial provides a basic introduction into rolle's theorem. It contains plenty of examples and practice problems on how to find the value of c that will satisfy the conclusion of rolle's theorem on the closed interval [a, b]. For rolle's theorem to apply to a funct

From playlist New Calculus Video Playlist

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Proof of Rolle's Theorem

This video proves Rolle's Theorem. http://mathispower4u.com

From playlist Rolle’s Theorem and the Mean Value Theorem

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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

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Rolle's Theorem with Examples

We discuss Rolle's Theorem with two examples in this video math tutorial by Mario's Math Tutoring. 0:21 What is Rolle's Theorem? - Definition 3:37 Example 1 Using Rolle's Theorem to find where the graph has a slope of zero between 2 points. 6:14 Example 2 shows an example where Rolle's Th

From playlist Calculus

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How to use ROLLE'S THEOREM (KristaKingMath)

► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course Rolle's theorem can be used to show that a function has a horizontal tangent line inside an interval. If you can show that a function is continuous over an interval, differentiable o

From playlist Calculus I

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Mean Value Theorem Proof

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

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Geometry - Ch. 3: Proofs (6 of 17) Theorems Needed for Proofs

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Related pages

Convex function | One-sided limit | Absolute value | Finite field | Differential calculus | Differentiable function | Intermediate value theorem | Continuous function | Taylor's theorem | Fermat's theorem (stationary points) | Semicircle | Augustin-Louis Cauchy | Extreme value theorem | Mean value theorem | Mizar system | Stationary point | Maxima and minima | Function (mathematics) | Field (mathematics) | Voorhoeve index | Linear interpolation | Real number | Michel Rolle | Mathematical induction | Constant function | Calculus | Gauss–Lucas theorem | Graph of a function | Ordered field | Giusto Bellavitis | Smoothness