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Консультация № 109220
13.11.2007, 14:48
0.00 руб.
0
2
2
у=arc cos(cos x)
Нужно найти производную.
Помогите пожалуйста! Очень нужно!
Нужно найти производную.
Помогите пожалуйста! Очень нужно!
Обсуждение
Неизвестный
13.11.2007, 15:04
общий
это ответ
Здравствуйте, Caspersurgut!
у‘ =sin(x)/sqrt(1 - cos(x)^2) = sin(x)/sqrt(sin(x)^2) = sin(x)/|sin(x)| = sign(sin(x)) - знак синуса х. Т.е. если х принадлежит [2пk, п+2пk] => y‘ = 1, если х принадлежит (п+2пk, 2п(k+1)) => y‘ = -1
у‘ =sin(x)/sqrt(1 - cos(x)^2) = sin(x)/sqrt(sin(x)^2) = sin(x)/|sin(x)| = sign(sin(x)) - знак синуса х. Т.е. если х принадлежит [2пk, п+2пk] => y‘ = 1, если х принадлежит (п+2пk, 2п(k+1)) => y‘ = -1
Неизвестный
13.11.2007, 22:16
общий
это ответ
<font color=red><b>!!!</b></font>
Здравствуйте, Caspersurgut!
Ну, это совсем просто, производная сложной функции равна произведению производной внешней функции на производную внутренней функции... В данном случае:
y‘=arccos‘(cosx)*cos‘x=[-1/корень(1-x*x)] * (-sinx)=sinx/корень(1-x*x)<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:red 1px solid; padding:10px;‘ class=fieldset><font color=red><i>Ответ неправильный. См. предыдущий ответ.</i>
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</font><font color=#777777 size=1><b>• Отредактировал: <a href=/info/user/118729 target=_blank>Агапов Марсель</a></b> (Специалист)
<b>• Дата редактирования:</b> 16.11.2007, 22:14</font></fieldset>
Здравствуйте, Caspersurgut!
Ну, это совсем просто, производная сложной функции равна произведению производной внешней функции на производную внутренней функции... В данном случае:
y‘=arccos‘(cosx)*cos‘x=[-1/корень(1-x*x)] * (-sinx)=sinx/корень(1-x*x)<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:red 1px solid; padding:10px;‘ class=fieldset><font color=red><i>Ответ неправильный. См. предыдущий ответ.</i>
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</font><font color=#777777 size=1><b>• Отредактировал: <a href=/info/user/118729 target=_blank>Агапов Марсель</a></b> (Специалист)
<b>• Дата редактирования:</b> 16.11.2007, 22:14</font></fieldset>
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