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Консультация № 176495
04.02.2010, 16:48
43.65 руб.
0
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Здравствуйте решите пожалуйста задачу(желательно на бумажке):
Найти значение производных данных функций в точке x=0:
Найти значение производных данных функций в точке x=0:
Обсуждение
Неизвестный
06.02.2010, 20:27
общий
08.02.2010, 00:57
это ответ
Здравствуйте, kapezc!
y=arctg[1/(x-1)]; x=0.
Сначала найдем производную данной функции:
dy/dx=d[arctg[1/(x-1)]/dx=[d[1/(x-1)]/dx]/dx]/[1+(x-1)^(-2)]=-[1/[1+[1/(x-1)^2]]*[1/(x-1)^2]=-[1/[1+(x-1)^2]].
Теперь, в полученную производную подставим значение х=0:
dy/d(x=0)=-[1/[1+(0-1)^2]]=-1/2.
y=arctg[1/(x-1)]; x=0.
Сначала найдем производную данной функции:
dy/dx=d[arctg[1/(x-1)]/dx=[d[1/(x-1)]/dx]/dx]/[1+(x-1)^(-2)]=-[1/[1+[1/(x-1)^2]]*[1/(x-1)^2]=-[1/[1+(x-1)^2]].
Теперь, в полученную производную подставим значение х=0:
dy/d(x=0)=-[1/[1+(0-1)^2]]=-1/2.
Форма ответа
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