Question: 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

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?

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