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Консультация № 191990
04.12.2017, 11:57
0.00 руб.
0
2
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Дана функция z = f(x,y), точка A (х0,у0) ,и вектор a .
Найти:
1) grad z в точке A
2) Производную по направлению вектора a
3) Записать уравнение касательной плоскости и нормали к поверхности z = f(x,y) в точке C(x0,у0 f(x0,y0))
Дана функция z = f(x,y), точка A (х0,у0) ,и вектор a .
Найти:
1) grad z в точке A
2) Производную по направлению вектора a
3) Записать уравнение касательной плоскости и нормали к поверхности z = f(x,y) в точке C(x0,у0 f(x0,y0))
Обсуждение
04.12.2017, 12:51
общий
это ответ
Здравствуйте, z222c333b555!
а)
Градиент функции в точке:
Модуль градиента функции в точке:
Направление вектора-градиента задаётся его направляющими косинусами:
б) Направляющие косинусы вектора
:
Производная функции по направлению вектора: 
в)
уравнение касательной плоскости:
уравнение нормали:
а)
Градиент функции в точке:
Модуль градиента функции в точке:
Направление вектора-градиента задаётся его направляющими косинусами:
б) Направляющие косинусы вектора
:Производная функции по направлению вектора
: в)
уравнение касательной плоскости:
уравнение нормали:
5
Спасибо!)
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