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Topic: [ap-calculus] point of inflection question
Replies: 1   Last Post: Sep 25, 2012 3:34 PM

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Jon Stark

Posts: 914
Registered: 6/10/06
RE: [ap-calculus] point of inflection question
Posted: Sep 25, 2012 3:34 PM
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I just checked my desk copies of Calculus texts by Finney Demana Waits Kennedy, Stewart, Rogawski, Ostebee-Zorn, Bittenger Ellenbogen, Anton Bivens Davis, Hughes-Hallett Gleason, Larson Hostetler Edwards, and Swokowski, and they all disagree with you. All require that a critical point / critical number / critical value / stationary point be "in the domain", or where the function "is defined".

A function may not be differentiable there, but it must at least "be" there.

Ned Earley wrote:

You can have a "critical point" without having a point.


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