Differential calculus | Articles containing proofs | Theorems in real analysis | Theorems in calculus
In mathematics, Fermat's theorem (also known as interior extremum theorem) is a method to find local maxima and minima of differentiable functions on open sets by showing that every local extremum of the function is a stationary point (the function's derivative is zero at that point). Fermat's theorem is a theorem in real analysis, named after Pierre de Fermat. By using Fermat's theorem, the potential extrema of a function , with derivative , are found by solving an equation in . Fermat's theorem gives only a necessary condition for extreme function values, as some stationary points are inflection points (not a maximum or minimum). The function's second derivative, if it exists, can sometimes be used to determine whether a stationary point is a maximum or minimum. (Wikipedia).
Exploring Stationary Points (2 of 3: Introductory Examples regarding nature of Stationary Points)
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From playlist Applications of Differentiation
Determine Function from Stationary Points
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From playlist Applications of Differentiation
Determining the nature of stationary points - Differentiation
Do some complex problems on differentiation finding stationary points and evaluating their nature by first derivative test.
From playlist Further Calculus - MAM Unit 3
From playlist l. Differential Calculus
Understanding Stationary Points (3 of 3: Determining nature)
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From playlist Applications of Differentiation
Stationary Points: Step-by-Step Guide
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From playlist Applications of Differentiation
Understanding Stationary Points (2 of 3: Location)
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From playlist Applications of Differentiation
L'équation du soir 6/6 - Roland Lehoucq - Univers Convergents 2018
Extrait de la séance sur le film "Premier Contact". Nouvelle année, nouvelle formule ! A chaque séance, le parrain ou marraine présente une formule mathématique en lien avec le film projeté durant la séance. Pour cette séance Roland Lehoucq nous présente une équation lumineuse ! Vous po
From playlist Ciné-Club Univers Convergents
Snell's law part 1: Ray optics derivation
In this video, I show how to derive the scalar form of Snell's law of refraction, starting from the postulates of ray optics.
From playlist Two-part series on Snell's law
Ch4 Pr10: Classifying Stationary Points
How to use the corollary to Taylor's Theorem to classify stationary points. Presented by Dr John Steele from the UNSW School of Mathematics and Statistics.
From playlist Mathematics 1B (Calculus)
Is ACTION The Most Fundamental Property in Physics?
Learn More About NordVPN at: https://nordvpn.com/spacetime It’s about time we discussed an obscure concept in physics that may be more fundamental than energy and entropy and perhaps time itself. That’s right - the time has come for Action. Sign Up on Patreon to get access to the Space
From playlist The Standard Model Lagrangian Playlist
The Abel Prize announcement 2016 - Andrew Wiles
0:44 The Abel Prize announced by Ole M. Sejersted, President of The Norwegian Academy of Science and Letters 2:07 Citation by Hans Munthe-Kaas, Chair of the Abel committee 8:01 Popular presentation of the prize winners work by Alex Bellos, British writer, and science communicator 21:43 Pho
From playlist The Abel Prize announcements
Why was this visual proof missed for 400 years? (Fermat's two square theorem)
Today's video is about a new really wonderfully simple and visual proof of Fermat's famous two square theorem: An odd prime can be written as the sum of two integer squares iff it is of the form 4k+1. This proof is a visual incarnation of Zagier's (in)famous one-sentence proof. 0:00 Intr
From playlist Recent videos
Alex Bellos on Andrew Wiles and Fermat's last theorem
Popular presentation by Alex Bellos on Sir Andrew Wiles and on Fermat's last theorem. This clip is a part of the Abel Prize Announcement 2016. You can view Alex Bellos own YouTube channel here: https://www.youtube.com/user/AlexInNumberland
From playlist Popular presentations
Using the Second Derivative (2 of 5: Turning Point vs Stationary Point analogy)
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From playlist Applications of Differentiation
Richard Pinch: Fermat's Last Theorem [1994]
Richard Pinch: Fermat's Last Theorem Based on the 1994 London Mathematical Society Popular Lectures, this special 'television lecture' entitled "Fermat's last theorem" is presented by Dr Richard Pinch. The London Mathematical Society is one of the oldest mathematical societies, founded i
From playlist Mathematics
A Short Course in Algebra and Number Theory - Fermat's little theorem and primes
To supplement a course taught at The University of Queensland's School of Mathematics and Physics I present a very brief summary of algebra and number theory for those students who need to quickly refresh that material or fill in some gaps in their understanding. This is the fifth lectur
From playlist A Short Course in Algebra and Number Theory
Fermat’s HUGE little theorem, pseudoprimes and Futurama
A LOT of people have heard about Andrew Wiles solving Fermat's last theorem after people trying in vain for over 350 years. Today's video is about Fermat's LITTLE theorem which is at least as pretty as its much more famous bigger brother, which has a super pretty accessible proof and which
From playlist Recent videos