求下列方程所确定的隐函数z=z(x,y)的全微分: (1)yz=arctan(xz); (2)xyz=ez; (3)cos2x+cos2y+cos2z=1; (4)x+y+z=e-(x+y+z).
求由方程x+y+z=f(x2+y2+z2)确定的隐函数z=z(x,y)的偏导数.其中f可微.
求由下列方程所确定的隐函数z=f(x,y)的偏导数 F'x,F'y
(1)yz²-xz²-x²y+1=0
(2)ez=cosxcosy.
设,其中z=z(x,y)是由方程x+y+z+xyz=0确定的隐函数,则=().