4) Let F be a field. The derivation f' (T) € F[T] of a polynomial f(T) E a; · Ti e F[T] is defined by i20 f'(T) := E(i- a;) - T*-1. i21 Verify for all f(T) and g(T) in F[T] the rules (F(T) + g(T))' = f'(T) +g'(T) and (f(T) · g(T))' = f'(T) · g(T) + f(T) · gʻ(T).

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A: This question is about function behaviour near infinity

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