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Консультация № 191336
09.09.2017, 17:28
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11
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Здравствуйте! У меня возникли сложности с таким вопросом:Задана функция z=f(x,y). Найти градиент и производную этой функции в заданной точке М(х,у) в направлении вектора I, составляющего угол альфа с положительным направлением оси Ох.
z=ln((x^2)+(y^2)) M(3, 4) альфа = П/6
как найти орт вектора а затем производную?
z=ln((x^2)+(y^2)) M(3, 4) альфа = П/6
как найти орт вектора а затем производную?
Обсуждение
09.09.2017, 17:35
общий
Адресаты:
Рассмотрите пример. Попробуйте выполнить задание по аналогии. Если у Вас возникнут вопросы, то задавайте их в мини-форуме этой консультации.
Об авторе:
Facta loquuntur.
Facta loquuntur.
09.09.2017, 17:56
общий
я нашла, что то подобное! приложу картинку , но там угол точки две, а у меня в примере п/6. Подскажите какая формула должна, и как быть дальше!что вы скинули немного не понятно. Буду благодарна ))
Прикрепленные файлы:
09.09.2017, 18:02
общий
Адресаты:
Вы должны вычислить производную по направлению вектора, который составляет угол 
с положительным направлением оси абсцисс. Каковы координаты единичного вектора, составляющего заданный угол? Вспомните тригонометрию.
с положительным направлением оси абсцисс. Каковы координаты единичного вектора, составляющего заданный угол? Вспомните тригонометрию.
Об авторе:
Facta loquuntur.
Facta loquuntur.
09.09.2017, 18:21
общий
Адресаты:
В общем-то, да. Только Вам дан вектор, расположенный в плоскости 
У него две, а не три координаты...
У него две, а не три координаты...
Об авторе:
Facta loquuntur.
Facta loquuntur.
09.09.2017, 18:36
общий
хорошо, это все понятно ! не понятно только то что куда подставлять, т.е. в числители и в знаменателе я подставляю координаты с точки М?
09.09.2017, 18:42
общий
Адресаты:
Если Вы разобрались, то я оформлю ответ.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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