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Консультация № 191328
04.09.2017, 11:27
0.00 руб.
1
1
1
Здравствуйте! Уважаемые эксперты у меня возникли сложности с таким вопросом:
Исследовать на экстремум функцию z=2xy-2x2-4y2
Исследовать на экстремум функцию z=2xy-2x2-4y2
Прикрепленные файлы:
Обсуждение
04.09.2017, 13:23
общий
это ответ
Здравствуйте, Руслан!
Найдем частные производные:
Согласно необходимым условиям экстремума: если дифференцируемая функция
достигает экстремума в точке 
, то 
- стационарная точка
Найдем частные производные второго порядка и их значения в точке:
Найдем дискриминант:
Согласно достаточным условиям экстремума:
если
, то в точке функция имеет максимум
Ответ:
Найдем частные производные:
Согласно необходимым условиям экстремума: если дифференцируемая функция
достигает экстремума в точке , то - стационарная точкаНайдем частные производные второго порядка и их значения в точке
:Найдем дискриминант:
Согласно достаточным условиям экстремума:
если
, то в точке функция имеет максимум Ответ:
5
Огромное Спасибо!
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