Category:Definitions/Points of Inflection
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This category contains definitions related to Points of Inflection.
Related results can be found in Category:Points of Inflection.
Let $f$ be a real function which is differentiable on an interval $\Bbb I \subseteq \R$.
Let $\xi \in \Bbb I$.
Definition 1
$f$ has a point of inflection at $\xi$ if and only if $\xi$ is a point on $f$ at which $f$ changes from being concave to convex, or vice versa.
Definition 2
$f$ has a point of inflection at $\xi$ if and only if the derivative $f'$ of $f$ has either a local maximum or a local minimum at $\xi$.
Subcategories
This category has only the following subcategory.
I
Pages in category "Definitions/Points of Inflection"
The following 6 pages are in this category, out of 6 total.