几道求导数题f(x)=x^3则f'(xy^2)=?d[f(xy)]/dx=?z=log(x^2/y^2)则dz/dx=?

设Z=f(x^2 +y,2xy),求dz/dx和dz/dy z=f(x,2x+y,xy),f有一阶连续偏导数,求dz f(x,y,z)=0,z=g(x,y),求dy/dx,dz/dx 高数设z=f(e^xy,y/x),求dz 设函数z=f(x,y)由方程e^z=xyz+cos(xy)求dz/dx ,dz/dy.求详解 f(x)具有二阶连续导数,f(0)=1,f'(0)=-1,且[xy(x+y)-f(x)y]dx+[f'(x)+x^2y] 设z=u^2cosv^2,u=x+y,v=xy,求dz/dx,dz/dy. y=f（x）由方程xy+e^xy+y=e确定,求dy/dx和d^2y/dx^2 z=f(x,y)是方程e^(-xy)-2z+e^z给出的函数,求全微分dz 设函数Y=f（x）由方程xy+y^2-2x=0,则dy/dx=? 已知df(x,y)=(2y^2+2xy+3x^2)dx+(4xy+x^2)dy,求f(x,y) f(x+y,xy)=x²+y²,则f﹙x,y﹚=?函数z=2xy-3x²-3y²