设F=2sin(x+2y-3z)-x-2y-3z=0,用隐函数的求导公式,求得Z'x=-F'x/F'z=-【2cos(x+2y-3z)-1】/【2cos(x+2y-3z)*(-3)-3】★Z'y=-F'y/F'z=-【2cos(x+2y-3z)*2+2】/【【2cos(x+2y-3z)*(-3)-3】☆则dZ=Z'xdx+Z'ydy=★dx+☆dy,然后代入整理。