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(3) ∂u/∂x = (y^z)x^(y^z-1), ∂u/∂y = x^(y^z)zy^(z-1)lnx,
∂u/∂z = x^(y^z)(y^z)lnxlny.
(4) ∂u/∂x = z(x-y)^(z-1)/[1+(x-y)^(2z)],
∂u/∂y = -z(x-y)^(z-1)/[1+(x-y)^(2z)],
∂u/∂z = (x-y)^z ln(x-y)/[1+(x-y)^(2z)]
∂u/∂z = x^(y^z)(y^z)lnxlny.
(4) ∂u/∂x = z(x-y)^(z-1)/[1+(x-y)^(2z)],
∂u/∂y = -z(x-y)^(z-1)/[1+(x-y)^(2z)],
∂u/∂z = (x-y)^z ln(x-y)/[1+(x-y)^(2z)]
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