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Консультация № 195254
15.04.2019, 19:36
0.00 руб.
16.04.2019, 18:20
0
2
1
Здравствуйте! Прошу помощи в следующем вопросе:
Найти экстремум функции
Z = -6x2 + y2 + 6xy + 7x - y - 6
Найти экстремум функции
Z = -6x2 + y2 + 6xy + 7x - y - 6
Обсуждение
16.04.2019, 15:59
общий
Адресаты:
Я правильно понимаю, что задана функция z=-6x2+y2+6xy+7x-y-6?
Об авторе:
Facta loquuntur.
Facta loquuntur.
17.04.2019, 15:14
общий
это ответ
Здравствуйте, mustang289!
Дифференцируя заданную функцию по двум переменным, получим
Из необходимого условия экстремума функции двух переменных получим
-- стационарная точка.
Вычислим частные производные второго порядка.
Получили, что значения частных производных второго порядка не зависят от координат. При этом
Значит, заданная функция не имеет экстремума [1, с. 302].
Литература
1. Баранова Е., Васильева Н., Федотов В. Практическое пособие по высшей математике. Типовые расчёты. -- СПб.: Питер, 2013. -- 400 с.
Дифференцируя заданную функцию по двум переменным, получим
Из необходимого условия экстремума функции двух переменных получим
-- стационарная точка.Вычислим частные производные второго порядка.
Получили, что значения частных производных второго порядка не зависят от координат. При этом
Значит, заданная функция не имеет экстремума [1, с. 302].
Литература
1. Баранова Е., Васильева Н., Федотов В. Практическое пособие по высшей математике. Типовые расчёты. -- СПб.: Питер, 2013. -- 400 с.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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