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)=

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)

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

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

若z=f(x,y),x=u+v,y=u-v,则(partial^2z)/(partial upartial v)=(partial^2z)/(partial x

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

143.设由方程F(x,y,z)=0所确定的函数关系中，已知(partial F)/(partial x)=ye^z-e^y，(partial F)/(part

dfrac ({sigma )^2z}(partial {y)^2} 和 dfrac ({partial )^2z}(partial xpartial y):-

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

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

求指导本题解题过程，谢谢您！(3)设函数 z=f(x,y) 由方程 +z=xf((y)^2-(z)^2) 所确定,f可微,-|||-则 dfrac (parti