Question: (a) If F(x) f (x) t(x), where f and t have derivatives of all orders, show that F'' = f '' g + 2f'g'

(a) If F(x) − f (x) t(x), where f and t have derivatives of all orders, show that F'' = f '' g + 2f'g' + f g''.
(b) Find similar formulas for F''' and F (4).
(c) Guess a formula for F(n).

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