问题补充:
高数 求偏导数已知sinxy-2z+e^z=0,求偏z/偏x和偏z/偏y
答案:
d(sinxy-2z+e^z)=0
dsinxy-d2z+de^z=0
ycosxydx+xcosxydy-2dz+e^zdz=0
ycosxydx+xcosxydy=2dz-e^zdz=(2-e^z)dz
dz=ycosxy/(2-e^z)dx+xcosxy/(2-e^z)dy
所以偏z/偏x=ycosxy/(2-e^z)
偏z/偏y=xcosxy/(2-e^z)
======以下答案可供参考======
供参考答案1:
对x求导:ycosxy-2zx+zxe^z=0,得:zx=ycosxy/(2-e^z)
对y求导:xcosxy-2zy+zye^z=0,得: zy=xcosxy/(2-e^z)