F(x,y,z)=In(x^α+y^β)+z^(1-α-β),求 ∂f(x,y,z)/∂y

f(x,y,z)=In{[x^α+z^(1-α-β)]/y^β}+x/z+(z/x)^β,求 ∂f(x,y,z)/∂y F(x,y,z)=In(x^α+y^β)+z^(1-α-β),求 ∂f(x,y,z)/∂y 分解因式:f(x,y,z)=x^2(y-z)+y^2(z-x)+z^2(x-y) f(x,y,z)=(x^2+y^2)^0.5+z^1.5,求 ∂f(x,y,z)/∂y z=f(x+y,x-y),则dz=? 设z=f(x,y) (x+y-z)(x-y+z)= 已知函数f(x,y,z)=arcsin(x*x+y*y+lnz)求f(x-y,x+y,xz)? z=f(u) u=x/y,求x*∂z/∂x +y*z∂z/∂y 在概率论中,如何根据f(x,y)求f(z)(Z=|X+Y|或者Z=|X-Y|) 设z=f(x^2-y^2,e^（xy)),求偏导z/x,偏导z/y 一道函数不等式题求出所有这样的函数f:R-R,使得对于一切x,y,z∈R,有f(x+y)+f（y+z）+f(x+z)=3f(x+2y+3z)f(x+y)+f（y+z）+f(x+z)=3f(x+2y+3z)改为f(x+y)+f（y+z）+f(x+z)≥3f(x+2y+3z) F(x/z,y/z)=0,求dz过程 X+Y+Z=? x/y=(x+z)/(y+z)y/z=(x+y)/(x+z) 设f(x,y,z)=e^x*y*z^2,其中z=z(x,y)是由x+y=z+x*e^(z-x-y)确定的隐函数,则f'x(0,1,1)= 设z=f(x,y)由方程z+x+y=e^(z+x+y)所确定,求Dz z=f(x*x-y*y,e的XY次方)求Z对X偏导 Z对Y偏导