Concavity - Math.net
The concavity of the graph of a function refers to the curvature of the graph over an interval; this curvature is described as being concave up or concave down. Generally, a concave up curve …
1.4 Concavity | Precalculus - Lumen Learning
Concavity describes the shape of the curve. If the average rates are increasing on an interval then the function is concave up and if the average rates are decreasing on an interval then the …
3.4: Concavity and the Second Derivative - Mathematics LibreTexts
Dec 21, 2020 · We have identified the concepts of concavity and points of inflection. It is now time to practice using these concepts; given a function, we should be able to find its points of …
Concave function - Wikipedia
In mathematics, a concave function is one for which the function value at any convex combination of elements in the domain is greater than or equal to that convex combination of those domain …
Concavity review (article) | Khan Academy
A function that increases can be concave up or down or both, if it has an inflection point. The increase can be assessed with the first derivative, which has to be > 0. The concavity is …
Concavity and Points of Inflection - GeeksforGeeks
Jul 23, 2025 · Concavity in a curve refers to its curvature, or the way it bends. If a curve is concave up, it opens upward like a cup, while if it's concave down, it opens downward like a …
Concavity and Points of Inflection – Calculus Examples Using ...
Learn concavity and points of inflection in calculus using second derivatives. Clear definitions, step-by-step worked examples, graphs, and practice problems for students.