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Задать вопрос экспертам

Консультация № 160923

19.02.2009, 20:18

0.00 руб.

0 1 1

Образование

Здравствуйте! Помогите пожалуйста решить tg(xy)-2=x-2y. Нужно найти производную y'

Обсуждение

Неизвестный

19.02.2009, 20:38

общий

это ответ

Здравствуйте, Махненко Александр!
F(x;y)=tg(xy)-2-x+2y=0 .
(dF/dx)+(dF/dy)*(dy/dx)=0 => y'=-(dF/dx)/(dF/dy) .
dF/dx и dF/dy - частные производные .
dF/dx=(y/((cos(xy))^2))-1 ; dF/dy=(x/((cos(xy))^2))+2 .
y'=dy/dx=(((cos(xy))^2)-y)/(2*((cos(xy))^2)+x) .

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