Fermat's Theorem (Stationary Points)

Author:   Frederic P. Miller ,  Agnes F. Vandome ,  John McBrewster
Publisher:   VDM Publishing House
ISBN:  

9786130256470


Pages:   72
Publication Date:   15 December 2009
Format:   Paperback
Availability:   In Print   Availability explained
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Fermat's Theorem (Stationary Points)


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High Quality Content by WIKIPEDIA articles! 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.

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Author:   Frederic P. Miller ,  Agnes F. Vandome ,  John McBrewster
Publisher:   VDM Publishing House
Imprint:   VDM Publishing House
Dimensions:   Width: 22.90cm , Height: 0.40cm , Length: 15.20cm
Weight:   0.119kg
ISBN:  

9786130256470


ISBN 10:   6130256477
Pages:   72
Publication Date:   15 December 2009
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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