(Requires calculus) a) Let n be a positive integer. Show
Chapter 8, Problem 8.5.18(choose chapter or problem)
(Requires calculus) a) Let n be a positive integer. Show that the relation R on the set of all polynomials with real-valued coeffi- . cients consisting of all pairs (f, g) such that I(n )(x) = g(n ) (x ) is an equivalence relation. [Here I(n )(x) is the nth derivative of I(x).] b) Which functions are in the same equivalence class as the function I(x) = x\ where n = 3?
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