z=x^y+y^x求dz/dx

f(x,y,z)=0,z=g(x,y),求dy/dx,dz/dx 设有方程x+y^2+z^2=2z,求dz/dx dz/dy 求函数：z^x=y^z的,dz/dx,dz/dy, 设x+y^2+z=ln(x+y^2+z)^1/2,求dz/dx 若z=e^（x^2+y^3）,求dz/dx,dz/dy 设Z=f(x^2 +y,2xy),求dz/dx和dz/dy z=(2y+7)^2 * ln(x^3+2) 求dz/dx 和 dz/dy 设二元函数 z=u^2,u=x+y v=x-y ,求dz/dx,dz/dy 已知dz=u(x,y)dx+v(x,y)dy 求 z=f(x,y)? 设z=ln(x^z×y^x),求dz 微分方程（首次积分）已知dx/(e^x+z)=dy/(e^y+z)=dz/(z^2-e^(x+y)),求x,y,z的关系 设z=u^2cosv^2,u=x+y,v=xy,求dz/dx,dz/dy.