16.判断题 若二元函数z=f(x,y)有全微分公式dz=g(x,y)dx+h(x,y)dy， 则必有(partial z)/(partial x)=g(x,y)，(partial z)/(partial y)=h(x,y).

设f(u)可导，z=xyf((y)/(x))，若x(partial z)/(partial x)+y(partial z)/(partial y)=xy(lny

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

设F(x, y, z)= 0定义z为x和y的隐函数，则(partial z)/(partial x)等于（） 设$F(x, y, z)= 0$定义$z$为$x

设 z = f(-(x)/(y))，且 f(x) 可导，则 (partial z)/(partial x) = ( )A. $f'\left(-\frac{x}

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

设z=sin(uv)，u=x+y，v=x-y，则(partial z)/(partial y)=【】 设$z=\sin(uv)$，$u=x+y$，$v=x-y

设二元函数z=f(x,y)的全微分z=f(x,y), 则z=f(x,y)设二元函数的全微分,则

[例3](2007,数一)设f(u,v)为二元可微函数, =f((x)^y,(y)^x), 则 dfrac (partial z)(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