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

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

(b) Find similar formulas for F€™€™€™ and F(4).
(c) Guess a formula for F(n).

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Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

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Question Posted: Jun 25, 2010 05:04 AM

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

Question:

F" = f"g + 2f'g' + fg"

Step by Step Answer:

a Use the Product Rule repeatedly F fg F fgfg F fgfg fg fg fg2fgfg b F fgfg 2fg fg fg fg ...View the full answer

Calculus Early Transcendentals

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