Marx's Mathematical Manuscripts 1881
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Marx's analysis of the Concept of the Derived Function
Marx's Mathematical Manuscripts 1881 On the Differential13 Written: August, 1881; Source: Marx's Mathematical Manuscripts, New Park Publications, 1983; First published: in Russian translation, in Pod znamenem marksizma, 1933. I 1) Let f(x) or y = uz be a function to be differentiated; u and z are both functions dependent on the independent variable x. They are independent variables with respect to the function y, which depends on them, and thus on x. y1 = u1z1, y1 - y = u1z1 - uz = z1(u1 - u) + u(z1 - z), (y1 - y)/(x1 - x) or Δy/Δx = z1⋅(u1 - u)/(x1 - x) + u⋅(z1 - z)/(x1 - x) =…
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