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(view preamble)
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intermediate value property of the derivative |
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Cross-references: restriction, places, even, continuously differentiable, intermediate value theorem, right, differentiable, continuous function
There is 1 reference to this entry.
This is version 4 of Darboux's theorem (analysis), born on 2002-06-06, modified 2004-02-25.
Object id is 3055, canonical name is DarbouxsTheorem.
Accessed 7485 times total.
Classification:
| AMS MSC: | 26A06 (Real functions :: Functions of one variable :: One-variable calculus) |
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Pending Errata and Addenda
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![$ f:[a,b]\to\mathbb{R}$](http://images.planetmath.org:8080/cache/objects/3055/l2h/img1.png "$ f:[a,b]\to\mathbb{R}$"){kind=small}
![$ [a,b]$](http://images.planetmath.org:8080/cache/objects/3055/l2h/img2.png "$ [a,b]$"){kind=small}
![$ x\in [a,b]$](http://images.planetmath.org:8080/cache/objects/3055/l2h/img10.png "$ x\in [a,b]$"){kind=small}
![$ f\in C^1([a,b])$](http://images.planetmath.org:8080/cache/objects/3055/l2h/img13.png "$ f\in C^1([a,b])$"){kind=small}
