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## local maxima and minima - Wikipedia

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 ...

## Testing critical points for local extrema | Relative minima & maxima ...

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

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

mathinsight.org/local_extrema_introduction_two_variables

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

## 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.).

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

www.math.uiuc.edu/~muncast/math220/Quizzes/quiz5Solutions.pdf

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.

## Local Extrema Finder - Desmos

www.desmos.com/calculator/4bcktfbguj

Local Extrema Finder. ... Green = Local Max. Green = Local Max. 5. Red = Local Min. Red = Local Min. 6. Dim outside. Dim outside. Hide this folder from students  ...

## 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 ...

Aug 26, 2009 ... WEBSITE: http://www.teachertube.com First derivative test to determine local minimum and maximum.
Oct 28, 2012 ... How to estimate the local extrema from the graph of a polynomial.

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

www.dummies.com

All local maximums and minimums on a function's graph — called local extrema — occur at critical points of the function (where the derivative is zero or ...

### Local Extrema

www.math.utah.edu

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) ...

### First Derivative Test for Local Extrema - CliffsNotes

www.cliffsnotes.com

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.