These are called extrema. In this section, we will learn how to do this. An extrema is a point that is either the top of a hill (relative maximum), the bottom of a valley (relative minimum), or at a point at which the function is not differentiable. The x-values of these are called critical numbers. Here are some examples of extrema on a graph:
Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...
Wolfram|Alpha has the power to solve optimization problems of various kinds using state-of-the-art methods. + Expand. Global Optimization. Find global extrema ...
03.03.2018 · This calculus video tutorial explains how to find the local maximum and minimum values of a function. In order to determine the relative extrema, you need t...
Finding relative extrema (first derivative test) AP.CALC: FUN‑4 (EU), FUN‑4.A (LO), FUN‑4.A.2 (EK) The first derivative test is the process of analyzing functions using their first derivatives in order to find their extremum point.
Examples · extreme points f ( x )=√ x +3 · extreme points y = x+ x +1 x · extreme points f ( x )= x · extreme points f ( x )=ln( x −5) · extreme points f ( x )=1 x ...