Question

隐函数求导 x+y-e^xy=0

Answer 1

dx/dx+dy/dx-e^(xy)(y+x*dy/dx)=0

=>dy/dx*(1-xe^(xy))=-1+y*e^(xy)

=>dy/dx=[-1+y*e^(xy)]/[1-xe^(xy)]=(xy+yy-1)/(1-xx-xy)