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Консультация № 198183
08.04.2020, 16:08
0.00 руб.
13.04.2020, 12:38
0
2
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Дана функция z = F(x;y), точка А(х0;у0) и вектор а. Найти: 1) grad z в точке А, т.е. (grad)A; 2) производную функцию z в точке А по направлению вектора а, т.е. (dz/da)A.
z = ln (5x2 + 4y2); A(1;1) a = 2i - j
Дана функция z = F(x;y), точка А(х0;у0) и вектор а. Найти: 1) grad z в точке А, т.е. (grad)A; 2) производную функцию z в точке А по направлению вектора а, т.е. (dz/da)A.
z = ln (5x2 + 4y2); A(1;1) a = 2i - j
Обсуждение
13.04.2020, 14:39
общий
Адресаты:
Дана функция z = F(x;y), точка А(х0;у0) и вектор а. Найти: 1) grad z в точке А, т.е. (grad)A; 2) производную функцию z в точке А по направлению вектора а, т.е. (dz/da)A.
z = ln (5x^2 + 4y^2); A(1;1) a = 2i - j
z = ln (5x^2 + 4y^2); A(1;1) a = 2i - j
13.04.2020, 16:18
общий
это ответ
Здравствуйте, fm11!
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 = {2, -1} 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 = {2, -1} в точке A(1; 1) имеем
5
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