设函数 z=z(x,y) 由方程 ^3-3xyz=8 确定,求 dfrac ({a)^2z}(a{x)^2partial y}(|)_(x-a)

33.设函数 z=z(x,y) 由方程 +x=(e)^z-y 所确定,则 dfrac ({partial )^2z}(partial ypartial x)=

3设 +2y+z-2sqrt (xyz)=0, 求 dfrac (partial z)(partial x) 及 dfrac (partial z)(parti

3.设 +2y+z-2sqrt (xyz)=0, 求 dfrac (partial z)(partial x) 及 dfrac (partial z)(part

3.设 +2y+z-2sqrt (xyz)=0 ,求 dfrac (partial z)(partial x) 及 dfrac (partial z)(part

求下列函数的 dfrac ({a)^2z}(a{x)^2} ,dfrac ({partial )^2z}(partial xpartial y) ,dfrac

sin (x+2y-3z)=x+2y-3z, 则 dfrac (partial z)(partial x)+dfrac (partial z)(partial

5.设 sin (x+2y-3z)=x+2y-3z, 证明: dfrac (partial z)(partial x)+dfrac (partial z)(pa

16.设函数 z=z(x,y) 由方程 ^2+(y)^2+(z)^2-6z=0 确定,求 dfrac ({sigma )^2z}(sigma x{U)_(y)}

1.已知 sin (3x-2y+z)=3x-2y+z, 则 dfrac ({partial )^2z}(partial xpartial y)= __

[试题](本题满分7分)设函数z=z(x，y)由方程x2+y2+z2=xyz确定，求δz/δy。