Maximal and Minimal Values

Jiří Gregor () and Jaroslav Tišer ()
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Jiří Gregor: Czech Technical University, Department of Mathematics
Jaroslav Tišer: Czech Technical University, Department of Mathematics

Chapter 7 in Discovering Mathematics, 2011, pp 131-142 from Springer

Abstract: Abstract The well known fact that differentiable functions may have local extremes only at points where their first derivatives vanish is illustrated. In some cases the corresponding equations are not directly accessible or solvable and other considerations have to be applied. Constrained extremal values for real functions of several variables and extremal problems of non-differentiable functions are included.

Keywords: Local Extreme; Minimal Surface Area; Billiard Ball; Fermat Point; Regular Triangle (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-85729-064-9_8

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DOI: 10.1007/978-0-85729-064-9_8

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