Suppose that f is differentiable at a and f(a) 0. a) Show that for h sufficiently

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Suppose that f is differentiable at a and f(a) ‰ 0.
a) Show that for h sufficiently small, f(a + h) ‰ 0).
b) [RECIPROCAL RULE] Using Definition 4.1 directly, prove that 1/f(x) is differentiable at x = a and

c) Use the Product Rule and the Reciprocal Rule to prove the Quotient Rule directly.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 03:59 AM

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Suppose that f is differentiable at a and f(a) 0. a) Show that for h sufficiently

Question:

f'(a) (a) =-22(a)

Step by Step Answer:

a If fa 0 fa h fa2 0 for h small like the proof of Lemma 328 b Cho...View the full answer

An Introduction to Analysis

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