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Concave Function: Concave Function, Mathematics, Additive Inverse, Convex Function -

English
2026-03-15
€179.62 €224.53

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In mathematics, a concave function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave down, convex cap or upper convex.For a twice-differentiable function f, if the second derivative, f ¿¿(x), is positive (or, if the acceleration is positive), then the graph is convex; if f ¿¿(x) is negative, then the graph is concave. Points where concavity chang ... Full description

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Description

In mathematics, a concave function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave down, convex cap or upper convex.For a twice-differentiable function f, if the second derivative, f ¿¿(x), is positive (or, if the acceleration is positive), then the graph is convex; if f ¿¿(x) is negative, then the graph is concave. Points where concavity changes are inflection points. If a convex (i.e., concave upward) function has a "bottom", any point at the bottom is a minimal extremum. If a concave (i.e., concave downward) function has an "apex", any point at the apex is a maximal extremum.

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786131106163
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€179.62 €224.53