Geodesic
Solution of extremal problems without use of derivative
Matematičeskoe obrazovanie, no. 2 (2019), pp. 7-19
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Different methods of solution of extremal problems without use of derivative are considered.
Keywords: problems on the unconditional and conditional extremum, properties of a linear and quadratic function, the use of numerical inequalities, coordinate vector method, the method of introducing an auxiliary parameter, the use of parametric equations.
Mots-clés : variable replacement 
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V. I. Voytitsky; A. Sh. Mustafaeva. Solution of extremal problems without use of derivative. Matematičeskoe obrazovanie, no. 2 (2019), pp. 7-19. http://geodesic.mathdoc.fr/item/MO_2019_2_a1/

[1] Tikhomirov V. M., Rasskazy o maksimumakh i minimumakh, MTsNMO, M., 2006, 200 pp.

[2] Natanson I. P., Prosteishie zadachi na maksimum i minimum, Populyarnye lektsii po matematike, 2, Gos. izd-vo tekhniko-teoret. lit., M.-L., 1952, 32 pp.

[3] Aktershev S. P., Zadachi na maksimum i minimum, BKhV-peterburg, SPB, 2005, 192 pp.

[4] Korovkin P. P., Neravenstva, Populyarnye lektsii po matematike, 5, Nauka, M., 1966, 56 pp. | MR

[5] Solovev Yu. P., Neravenstva, biblioteka «Matematicheskoe prosveschenie», 30, MTsNMO, M., 2005, 16 pp.

[6] Voititskii V. I., “Srednie funktsionalnye velichiny nabora deistvitelnykh chisel, ikh sravnenie i svoistva”, Matematicheskoe obrazovanie, 4(84) (2017), 12–19

[7] Sharygin I. F., Fakultativnyi kurs po matematike. Reshenie zadach, Uchebnoe posobie dlya 10 klassa, Prosveschenie, M., 1989, 252 pp.

[8] Boltyanskii V. G., Vilenkin N. Ya., Simmetriya v algebre, MTsNMO, M., 2002, 240 pp.

[9] Skanavi M. I. (red.), Sbornik zadach po matematike dlya postupayuschikh vo vtuzy, M., 2013, 608 pp.