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## Maxima and minima

en.wikipedia.org/wiki/Maxima_and_minima

In mathematical analysis, the maxima and minima of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range...

## Testing critical points for local extrema | Critical points and graphing ...

Once you find a critical point, how can you tell if it is a minimum, maximum or neither?

## Local Extrema - math.utah.edu

www.math.utah.edu/lectures/math1210/18PostNotes.pdf

18B Local Extrema. 2. Definition. Let S be the domain of f such that c is an element of S. Then,. 1) f(c) is a local maximum value of f if there exists an interval (a,b) ...

## Critical Points - SOS Math

www.sosmath.com/calculus/diff/der13/der13.html

Analogously, f(x) is said to have a local minimum at c iff there exists an interval I around c such that. \begin{displaymath}f(c) \leq f(x) \. A local extremum is a local ...

## Graphing Polynomials - Cool math Algebra Help Lessons - Relative ...

www.coolmath.com/algebra/22-graphing-polynomials/10-relative-extrema-maximums-minimums-01

Check out this graph: a graph of a polynomial with relative extrema at points ( -3 , 2 ) ... (Relative extrema (maxes and mins) are sometimes called local extrema.).

Aug 26, 2009 ... WEBSITE: http://www.teachertube.com First derivative test to determine local minimum and maximum.

## Calculus AB: Applications of the Derivative: Absolute and Local ...

www.sparknotes.com/math/calcab/applicationsofthederivative/section3.rhtml

A summary of Absolute and Local Extrema in 's Calculus AB: Applications of the Derivative. Learn exactly what happened in this chapter, scene, or section of ...

## Local Extremum -- from Wolfram MathWorld

mathworld.wolfram.com/LocalExtremum.html

A local extremum, also called a relative extremum, is a local minimum or local maximum. SEE ALSO: Extremum, Global Extremum, Local Maximum, Local ...

## Local Extrema Finder - Desmos

www.desmos.com/calculator/4bcktfbguj

Local Extrema Finder.

## First Derivative Test for Local Extrema - CliffsNotes

www.cliffsnotes.com/study-guides/calculus/calculus/applications-of-the-derivative/first-derivative-test-for-local-extrema

If the derivative of a function changes sign around a critical point, the function is said to have a local (relative) extremum at that point. If the derivative.

### How to Find Local Extrema with the First Derivative Test - For ...

www.dummies.com

(Don't forget, though, that not all critical points are necessarily local extrema.) The first step in finding a function's local extrema is to find its critical numbers (the ...

### Introduction to local extrema of functions of two variables - Math Insight

mathinsight.org

Introduction to the idea of critical points and local extrema of two variable functions.

### 1. Find all local extrema of the function f(x) = x x2 + 4 The derivative ...

www.math.uiuc.edu

numbers and hence the local extrema occur where f (x) = 0. From the deriva- ... To determine which of these are local maxs or local mins, we need to do either.