(a) If F() = f () g(), where f and g have derivatives of all orders, show...

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(a) If F(ϰ) = f (ϰ) g(ϰ), where f and g 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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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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