∵u=f(x,z),∴取全微分du=fxdx+fzdz,∵z=z(x,y)=x+yφ(z)∴dz=dx+φ(z)dy+yφ'(z)dz∴dz= dx+φ(z)dy 1?yφ′(z) ,故du=(fx+ fz 1?yφ′ )dx+ fzφ(z) 1?yφ′(z) dy.