z=f(x*x-y*y,e的XY次方)求Z对X偏导 Z对Y偏导
问题描述：
z=f(x*x-y*y,e的XY次方)求Z对X偏导 Z对Y偏导
答
(太麻烦拉,给点分啊!)设v=x*x-y*y,u=exp{xy}那么dv/dx=2x(这里应该用偏导符号,代替一下),dv/dy=2y,du/dx=y*exp{xy},du/dy=x*exp{xy}那么dz/dx=dz/dv*dv/dx+dz/du*du/dx=2x*dz/dv+y*exp{xy}*dz/dudz/dy=dz/dv*dv/dy+d...