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Консультация № 201904
13.12.2021, 11:47
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
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Спасибо!
Обсуждение
17.06.2022, 22:23
общий
это ответ
Здравствуйте, saveliev895rx!
С момента создания этой консультации прошло больше, чем полгода, поэтому для Вас мой ответ будет, скорее всего, ненужным, и он адресован возможным посетителям портала.
Вычислим координаты вектора
Вычислим длину вектора
Вычислим координаты орта направления вектора
Вычислим частные производные заданной функции
и их значения в точке 
Вычислим производную функции в точке 
по направлению вектора
Действуя аналогично, получим
Направление максимальной скорости возрастания функции в точке определяется вектором градиента функции в этой точке:
Величина максимальной скорости возрастания функции в точке составляет
В точке значение функции составляет 
Стало быть, линией уровня, соответствующей точке 
является линия, уравнение которой суть 
Искомая линия -- окружность, центр которой находится в начале координат, а радиус равен 
График этой линии показан в прикреплённом файле.
С момента создания этой консультации прошло больше, чем полгода, поэтому для Вас мой ответ будет, скорее всего, ненужным, и он адресован возможным посетителям портала.
Вычислим координаты вектора
Вычислим длину вектора
Вычислим координаты орта направления вектора
Вычислим частные производные заданной функции
и их значения в точке Вычислим производную функции
в точке по направлению вектора *****
Действуя аналогично, получим
*****
Направление максимальной скорости возрастания функции
в точке определяется вектором градиента функции в этой точке:Величина максимальной скорости возрастания функции
в точке составляет*****
В точке
значение функции составляет Стало быть, линией уровня, соответствующей точке является линия, уравнение которой суть Искомая линия -- окружность, центр которой находится в начале координат, а радиус равен График этой линии показан в прикреплённом файле.
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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