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Консультация № 192066
09.12.2017, 14:52
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Даны: функция z=f(x,y) , точка A(x0, y0) и вектор a . Найти:
1) grad z в точке A ;
2) производную в точке A по направлению вектора a
Даны: функция z=f(x,y) , точка A(x0, y0) и вектор a . Найти:
1) grad z в точке A ;
2) производную в точке A по направлению вектора a
Прикрепленные файлы:
Обсуждение
09.12.2017, 14:58
общий
Адресаты:
Сообщите, пожалуйста, для экспертов, каковы Ваши соображения по решению этой задачи, если они есть. Возможно, будет, что обсудить.
Об авторе:
Facta loquuntur.
Facta loquuntur.
10.12.2017, 11:05
общий
Адресаты:
Прочитайте, пожалуйста, эту статью и попробуйте решить свою задачу самостоятельно. Если по ходу решения у Вас возникнут вопросы, то задавайте их, пожалуйста, в мини-форуме этой консультации.
Об авторе:
Facta loquuntur.
Facta loquuntur.
19.12.2017, 14:56
общий
это ответ
Здравствуйте, natashak2001!
1) Градиент функции в точке есть вектор значений частных производных функции в этой точке. В данном случае
и в точке A(0; 0) имеем
то есть
2) Производная по направлению некоторого вектора численно равна проекции градиента на этот вектор. В данном случае градиент - нулевой вектор, поэтому производная функции z в точке A по любому направлению равна 0.
1) Градиент функции в точке есть вектор значений частных производных функции в этой точке. В данном случае
и в точке A(0; 0) имеем
то есть
2) Производная по направлению некоторого вектора численно равна проекции градиента на этот вектор. В данном случае градиент - нулевой вектор, поэтому производная функции z в точке A по любому направлению равна 0.
5
Спасибо!!!
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