Articles liés à Fermat's Theorem (Stationary Points): Theorem,...

Fermat's Theorem (Stationary Points): Theorem, Real analysis, Pierre de Fermat, Maxima and minima, Derivative, Open set, Stationary point, Equation, ... Inflection point, Second derivative - Couverture souple

 
9786130256470: Fermat's Theorem (Stationary Points): Theorem, Real analysis, Pierre de Fermat, Maxima and minima, Derivative, Open set, Stationary point, Equation, ... Inflection point, Second derivative
Couverture souple
ISBN 10 : 6130256477 ISBN 13 : 9786130256470
Editeur : Alphascript Publishing, 2009

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Fermat's theorem is a theorem in real analysis, named after Pierre de Fermat. It gives 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 derivative is zero in that point). So, by using Fermat's theorem, the potential extremums of a function displaystyle f, with derivative displaystyle f', are found by solving an equation in displaystyle f'. Fermat's theorem gives only a necessary condition for extreme function values, and some stationary points are inflection points (not a maximum or minimum). The function's second derivative, if it exists, can determine if any stationary point is a maximum, minimum, or inflection point.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Fermat's theorem is a theorem in real analysis, named after Pierre de Fermat. It gives 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 derivative is zero in that point). So, by using Fermat's theorem, the potential extremums of a function displaystyle f, with derivative displaystyle f', are found by solving an equation in displaystyle f'. Fermat's theorem gives only a necessary condition for extreme function values, and some stationary points are inflection points (not a maximum or minimum). The function's second derivative, if it exists, can determine if any stationary point is a maximum, minimum, or inflection point.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Alphascript Publishing
Date d'édition
2009
Langue
anglais
ISBN 10 
6130256477
ISBN 13 
9786130256470
Reliure
Broché
Nombre de pages
72
Éditeur
Miller Frederic P., Vandome Agnes F., McBrewster John
Coordonnées du fabricant
non disponible
Personne responsable
non disponible