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Консультация № 186044
15.05.2012, 21:02
78.80 руб.
15.05.2012, 21:11
0
2
2
Здравствуйте! У меня возникли сложности с таким вопросом:
Обсуждение
15.05.2012, 22:10
общий
это ответ
Здравствуйте, Максим!
Найдем частные производные функции z=arcsin(x2/y).
Вычислим их значения в точке А(1;2):
Градиент функции z(x,y) есть вектор
В точке А имеем
Модуль этого вектора:
Производную по направлению вектора
определим по формуле
Вычисляем направляющие косинусы вектора
:
Искомая производная в точке А по направлению вектора равна
Найдем частные производные функции z=arcsin(x2/y).
Вычислим их значения в точке А(1;2):
Градиент функции z(x,y) есть вектор
В точке А имеем
Модуль этого вектора:
Производную по направлению вектора
определим по формулеВычисляем направляющие косинусы вектора
:Искомая производная в точке А по направлению вектора
равна
15.05.2012, 22:28
общий
это ответ
Здравствуйте, Максим!
Находим частные производные заданной функции z = f(x; y) и их значения в точке A:
Находим градиент функции:
в том числе, в точке A:
и его значение в этой точке:
Находим модуль вектора a:
и орт его направления:
Находим производную функции z = f(x; y) в точке A по направлению вектора a:
С уважением.
Находим частные производные заданной функции z = f(x; y) и их значения в точке A:
Находим градиент функции:
в том числе, в точке A:
и его значение в этой точке:
Находим модуль вектора a:
и орт его направления:
Находим производную функции z = f(x; y) в точке A по направлению вектора a:
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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