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Which functions are in the same equivalence class

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Reference no: EM131574631

Question: (Requires calculus)

a) Show that the relation R on the set of all differentiable functions from R to R consisting of all pairs (f, g) such that f' (x) = g' (x) for all real numbers x is an equivalence relation.

b) Which functions are in the same equivalence class as the function f(x) = x2?

Reference no: EM131574631

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