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Dr. Vogel's Gallery of Calculus
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Introduction
First semester calculus
A function which is continuous at only one point.
A function which is differentiable at a single point, and discontinuous everywhere else.
A function with a derivative defined for all
x
, but whose derivative is discontinuous.
A function continuous at all irrationals, discontinuous at all rationals.
A continuous, nowhere differentiable function.
Tom Vogel
Mon May 5 12:53:33 CDT 1997