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Консультация № 202193
20.02.2022, 20:48
0.00 руб.
1
3
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найти производную функции z = x^4 + 3x^3 y+ 9x^2 y - 8xy^2 + 5y^3 в точке (1;1) по направлению к точке (2;2). Найти также направления, по которым (dz)/(dl) принимает значения: наибольшее, наименьшее, равное нулю.
Найти производную функции z = x^4 + 3x^3 y+ 9x^2 y - 8xy^2 + 5y^3 в точке (1;1) по направлению к точке (2;2). Найти также направления, по которым (dz)/(dl) принимает значения: наибольшее, наименьшее, равное нулю.
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Обсуждение
20.02.2022, 23:13
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Вы создали Дубль-консультацию, это есть нарушение Правил Портала. Экспертам запрещено отвечать на дубли.
Обратитесь к модераторам с просьбой удалить текущую консультацию либо её первичный дубль rfpro.ru/question/202192 .
Обратитесь к модераторам с просьбой удалить текущую консультацию либо её первичный дубль rfpro.ru/question/202192 .
21.02.2022, 06:24
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Вы можете самостоятельно вычислить производные 
и 
?
и ?
Об авторе:
Facta loquuntur.
Facta loquuntur.
22.02.2022, 20:35
общий
это ответ
Здравствуйте, Mason!
Вычислим сначала частные производные функции
Вычислим значения этих производных в точке
Наибольшее значение производная
в точке 
имеет в направлении вектора
наименьшее -- в направлении вектора
равнjе нулю -- в направлениях векторов
и 
Вычислим координаты вектора, который определяет направление от точки
к точке 
Направляющие косинусы этого вектора
Стало быть, производная функции
по направлению вектора 
суть
Вычислим сначала частные производные функции
Вычислим значения этих производных в точке
Наибольшее значение производная
в точке имеет в направлении векторанаименьшее -- в направлении вектора
равнjе нулю -- в направлениях векторов
и Вычислим координаты вектора, который определяет направление от точки
к точке Направляющие косинусы этого вектора
Стало быть, производная функции
по направлению вектора суть
Об авторе:
Facta loquuntur.
Facta loquuntur.
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