(Requires calculus)a) Let n be a positive integer. Show
Chapter 13, Problem 18E(choose chapter or problem)
Problem 18E
(Requires calculus)
a) Let n be a positive integer. Show that the relation R on the set of all polynomials with real-valued coefficients consisting of all pairs (f, g) such that f(n)(x) = g(n)(x) is an equivalence relation. [Here f(n)(x) is the nth derivative of f(x).]
b) Which functions are in the same equivalence class as the function f(x) = .x4, where n = 3?
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