Prove the Quotient Rule using Eq. (1) and the Product Rule. -g(x) + lim f(x + h)

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Prove the Quotient Rule using Eq. (1) and the Product Rule.

-g(x) + lim f(x + h) 8(x + h) g(x) h0 h We show that this equals f(x)g'(x). (fg)'(x) = lim f(x+h)-f(x) h h0

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 07, 2023 08:21 AM

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Prove the Quotient Rule using Eq. (1) and the Product Rule. -g(x) + lim f(x + h)

Question:

-g(x) + lim f(x + h) 8(x + h) − g(x) h→0 h We show that this equals f(x)g'(x). (fg)'(x) = lim f(x+h)-f(x) h h→0 We show that this equals f'(x)g(x).

Step by Step Answer:

Let hx fx We can wri...View the full answer

Calculus

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