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z'(x) = (y^2-x)'*x^3 + (y^2-x)*2x^2 = -1*x^3 + 2x^2*y^2 - 2x^3 = 2(xy)^2 - 3x^3
z'(x) = (y^2-x)'*x^3 + (y^2-x)*2x^2 = -1*x^3 + 2x^2*y^2 - 2x^3 = 2(xy)^2 - 3x^3
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