If u,v,w are the roots of the equation (λ-x)^3+(λ-y)^3+(λ-z)^3=0, cubic in λ, find ∂(u,v,w)/∂(x,y,z)

If u,v,w are the roots of the equation (λ-x)^3+(λ-y)^3+(λ-z)^3=0, cubic in λ, find ∂(u,v,w)/∂(x,y,z)

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