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Консультация № 199978
25.12.2020, 14:50
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:Даны функция z=(x;y), точка А ( ) и вектор а. Найти: 1) grad z в точке А; 2) производную в точке А по направлению вектора а. z=ln(x^2+3y^2), F(1;1), а 3i+2j
Приложение:
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Приложение:
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Обсуждение
30.12.2020, 01:47
общий
это ответ
Здравствуйте, kabanov.anton2010!
1) Градиент функции многих переменных в точке определяется как вектор значений частных производных в этой точке. В данном случае
и в точке A(1, 1)
2) Производная функции по направлению вектора a определяется выражением
В данном случае для a = {3, 2} в точке A(1, 1) имеем
1) Градиент функции многих переменных в точке определяется как вектор значений частных производных в этой точке. В данном случае
и в точке A(1, 1)
2) Производная функции по направлению вектора a определяется выражением
В данном случае для a = {3, 2} в точке A(1, 1) имеем
Форма ответа
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