A number a is called a fixed point of a function f if f (a) = a.

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A number a is called a fixed point of a function f if f (a) = a. Prove that if f’(x) ≠ 1 for all real numbers x, then has f at most one fixed point.

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 30, 2010 01:27 AM

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A number a is called a fixed point of a function f if f (a) = a.

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Assume that f is differentiable and hence continuous on R and that fx 1 for all z Suppose has m...View the full answer

Calculus

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