如图所示，望采纳！
(1) z = ln(x+y^2), ∂z/∂x = 1/(x+y^2), ∂z/∂y = 2y/(x+y^2),
∂^2z/∂x^2 = -1/(x+y^2)^2
∂^2z/∂x∂y = -2y/(x+y^2)^2
∂^2z/∂y^2 = 2(x-y^2)/(x+y^2)^2
(2) z = x^y, ∂z/∂x = yx^(y-1), ∂z/∂y = x^ylnx,
∂^2z/∂x^2 = y(y-1)x^(y-2)
∂^2z/∂x∂y = x^(y-1)+yx^(y-1)lnx
∂^2z/∂y^2 = x^y(lnx)^2
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