求由方程exyz+2z-xy=a所确定的隐函数的偏导数?z?x,?z?y

求由方程exyz+2z-xy=a所确定的隐函数的偏导数?z?x,?z?y.
2025-04-17 17:35:15
推荐回答(1个)
回答1:

令F(x,y,z)=exyz+2z-xy-a,则
Fx=yzexyz?yFy=xzexyz?xFz=xyexyz+2

?z
?x
=?
F′x
F′z
y?yzexyz
2+xyexyz

?z
?y
=?
F′y
F′z
x?xzexyz
2+xyexyz