y=y(x)的导数dy/dx 求 XY=e的X+Y次方?

问题描述:

y=y(x)的导数dy/dx 求 XY=e的X+Y次方?

对x求导
y+x*y'=e^(x+y)*(1+y')
y+x*y'=e^(x+y)+e^(x+y)*y'
所以dy/dx=[e^(x+y)-y]/[x-e^(x+y)]