Differential method of implicit function, seeking high man Let x ^ 3 + y ^ 3 + Z ^ 3-3xyz = 0 determine the implicit function z = f (x, y), find AZ / ax, AZ / ay

Differential method of implicit function, seeking high man Let x ^ 3 + y ^ 3 + Z ^ 3-3xyz = 0 determine the implicit function z = f (x, y), find AZ / ax, AZ / ay


Let f (x, y, z) = x ^ 3 + y ^ 3 + Z ^ 3-3xyz
Fx'(x,y,z)=3x^2-3yz
Fy'(x,y,z)=3y^2-3xz
Fz'(x,y,z)=3z^2-3xy
∂z/∂x=-Fx'(x,y,z)/Fz'(x,y,z)=(yz-x^2)/(z^2-xy)
∂z/∂y=-Fy'(x,y,z)/Fz'(x,y,z)=(xz-y^2)/(z^2-xy)
This is the derivative formula of implicit function

Elden Ring Premiere

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