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Relating Differentiability and Uniform Continuity

by Irl C. Bivens and L. R. King

This article originally appeared in:
College Mathematics Journal
September, 1985

Subject classification(s): Single Variable Calculus | Calculus
Applicable Course(s): 3.2 Mainstream Calculus II

F is differentiable at a if and only if the difference quotient is uniformly continuous.

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Capsule Course Topic(s):
One-Variable Calculus | Theoretical Issues
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