Prove that if is differentiable on ( , ) and '(x) 1 for all real numbers, then has at most one fixed point A fixed point of a function is a real number c such that (c) c ...

Suppose fx has two fixed points c ...

Prove that if is differentiable on (-, ) and '(x) < 1 for all real numbers,

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Prove that if ƒ is differentiable on (-∞, ∞) and
ƒ'(x) < 1 for all real numbers, then ƒ has at most one fixed
point. A fixed point of a function ƒ is a real number c such that
ƒ(c) = c.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Prove that if is differentiable on (-, ) and '(x) < 1 for all real numbers,

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Calculus

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