x²+y²=e^2y,x²=e^2y-y²对x求导2x=e^2y(2y')-2yy',y'=x/(e^2y-y),xy'=x²/(e^2y-y)对y求导2xx'=2e^2y-2y,x'=(e^2y-y)/x,x'y=(e^2y-y)y/x