Jul 3, 2025 · A convex function curves upwards, meaning that a straight line between any two points on the graph will lie above or on the graph. A concave function curves downwards, …

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 …

Sep 9, 2023 · Learn the difference between concave vs convex for lenses, mirrors, polygons, and mathematical functions. See how to remember the difference.

In the sections below, I’ll explain how to determine whether a function is concave or convex, either by examining its graph or by analyzing its derivative.

Convex and Concave Functions Function f is called convex in domain D C IR", if D is convex and all h € [0, 1]. It is called concave, if f((1-h)×1+hx2)� convex concave

Convex and Concave Functions: browse online math notes that will be helpful in learning math or refreshing your knowledge.

Jun 20, 2025 · Revision notes on Concave & Convex Functions for the AQA A Level Maths syllabus, written by the Maths experts at Save My Exams.

In this lecture, we shift our focus to the other important player in convex optimization, namely, convex functions. Here are some of the topics that we will touch upon:

For N = 1, the next result says that a function is concave i , informally, its slope is weakly decreasing.

When the slope continually decreases, the function is concave downward. Taking the second derivative actually tells us if the slope continually increases or decreases.