x^2+y^2+3xy-x=0怎么求导~..帮个忙...还有e^xy+cosy-2x=0

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x^2+y^2+3xy-x=0怎么求导~..帮个忙...还有e^xy+cosy-2x=0

x^2+y^2+3xy-x=0怎么求导~..帮个忙...还有e^xy+cosy-2x=0
x^2+y^2+3xy-x=0
怎么求导~..帮个忙...
还有e^xy+cosy-2x=0

x^2+y^2+3xy-x=0怎么求导~..帮个忙...还有e^xy+cosy-2x=0
2xdx+2ydy+3xdy+3ydx-dx=0
(2y+3x)dy+(2x+3y-1)dx=0
dy/dx=(1-2x-3y)/(2y+3x)
e^(xy)*(xdy+ydx)-sinydy-2dx=0
(x*e^(xy)-siny)dy+(y*e^(xy)-2)dx=0
dy/dx=(2-y*e^(xy))/(x*e^(xy)-siny)

2x+2y+3x+3y-1=5x+5y-1=0