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subtangent

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Subtangent and related concepts for a curve (black) at a given point P. The tangent and normal lines are shown in green and blue respectively. In geometry, the subtangent and related terms are certain line segments defined using the line tangent to a curve at a given point and the coordinate. — “Subtangent - Wikipedia, the free encyclopedia”, en.wikipedia.org

This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of Mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the Retrieved from "http://en.wikipedia.org/wiki/Talk:Subtangent". — “Talk:Subtangent - Wikipedia, the free encyclopedia”, en.wikipedia.org

A convex function (blue) and "subtangent lines" at x0 (red) A point x0 is a global minimum of a convex function f if and only if zero is contained in the subdifferential, that is, in the figure above, one may draw a horizontal "subtangent line" to the graph of f at (x0, f(x0). — “Subderivative - Wikipedia, the free encyclopedia”, en.wikipedia.org

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