设z=x^y,求dz

设z=ln(x^z×y^x),求dz 设Z=f(x^2 +y,2xy),求dz/dx和dz/dy 设Z=f(xz,z/y)确定Z为x,y的函数求dz 设z=arctany/x,求dz? 设x+y^2+z=ln(x+y^2+z)^1/2,求dz/dx 设二元函数 z=u^2,u=x+y v=x-y ,求dz/dx,dz/dy 设二元函数z=sin(x-y),求αz/αy,αy/αz,dz 设z=u^2cosv^2,u=x+y,v=xy,求dz/dx,dz/dy. 设函数z=(x,y)由方程x^2+z^2=2ye^z所确定,求dz 设z=ln(x+y),则dz= 设z=arctan(xy),y=e的x次方,求dz/dx .设z=z(x,y)由方程sin z=xyz所确定的隐函数,求dz.