(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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a F f g 2fg f g so F f4 b F4 4F 1 so F4 8F3 c Fn is eq...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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