A differentiable function f : I R is said to be uniformly differentiable on I := (a,

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A differentiable function f : I †’ R is said to be uniformly differentiable on I := (a, b) if for every ε > 0 there exists δ > 0 such that if 0
A differentiable function f : I †’ R is said

Show that if f is uniformly differentiable on I, then fʹ is continuous on I.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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