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Консультация № 198884
10.06.2020, 11:55
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
z=ln(x^2+4y^2), A(6,4) вектор a=0,5i+j
Найти 1) grad z в точке А; 2) производную в точке А по направлению вектора а.
z=ln(x^2+4y^2), A(6,4) вектор a=0,5i+j
Найти 1) grad z в точке А; 2) производную в точке А по направлению вектора а.
Обсуждение
15.06.2020, 01:29
общий
это ответ
Здравствуйте, vliza1998!
1) Градиент функции многих переменных в точке определяется как вектор значений частных производных в этой точке. В данном случае
и в точке A(6; 4)
2) Производная функции по направлению вектора a определяется выражением
В данном случае для a = {0.5, 1} в точке A(6; 4) имеем
1) Градиент функции многих переменных в точке определяется как вектор значений частных производных в этой точке. В данном случае
и в точке A(6; 4)
2) Производная функции по направлению вектора a определяется выражением
В данном случае для a = {0.5, 1} в точке A(6; 4) имеем
Форма ответа
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