This is not the document you are looking for? Use the search form below to find more!

Report home > Education

Find The Local Maximum And Minimum Values

0.00 (0 votes)
Document Description
In mathematics we Find the Local Maximum and Minimum values for the functions. There are points in the domain of a function where the function does not attain the greatest value but the values at these points are greater than or less than the values of the function at the neighboring points. Such points are called the local minimum and local maximum point. Let us discuss about the local minimum and local maximum values for the function. Local maximum: - A function f ( x ) reaches a local maximum at x = a if there is a region ( a – δ, a + δ ) of a such that f ( x ) < f ( a ) for all x ε ( a – δ, a + δ ), x ≠ a or f ( x ) - f ( a ) < 0 for all x ε ( a – δ, a + δ ), x ≠ a In this situation f ( a ) is called the local maximum value of f ( x ) at x = a.
File Details
  • Added: June, 05th 2012
  • Reads: 292
  • Downloads: 0
  • File size: 260.45kb
  • Pages: 4
  • Tags: find the local maximum and minimum values, how to solve literal equations, rational expression application word problems, rational expressions applications, subtracting improper fractions, antiderivative list, anti derivative of trig functions, compare differentiation and integration, commutative property of multiplication worksheets
  • content preview
Submitter
Embed Code:

Add New Comment




Related Documents

Theres nothing inherent about scale: political ecology, the local trap, and the politics of development in the Brazilian Amazon

by: samanta, 18 pages

This paper argues that research in political ecology would benefit from more explicit and careful attention to the question of scale and scalar politics. Although political ecologists have ...

THE PRINCE ANDT HE PAUPER? CEO PAY IN THE UNITED STATES AND UNITED KINGDOM

by: samanta, 32 pages

We document differences in CEO pay and incentives in the United States and the United Kingdom for 1997. After controlling for size, sector and other firm and executive characteristics, CEOs in the US ...

Richard Dawkins - The Tanner Lectures on Human Values

by: docdrop, 36 pages

Richard Dawkins - The Tanner Lectures on Human Values

Find the Right Legal and Healthcare Experts for an Aging Parent

by: lawfirmnewswire, 1 pages

Brandon, FL (Law Firm Newswire) July 28, 2011 Many families live further away from each other. Younger families go to where they can find jobs and good schools, and oftentimes the grandparents move ...

Local politics and foreign ventures in China's transitional economy: the political economy of Singaporean investments in China

by: samanta, 32 pages

There-articulation of China into the global economy since December 1978 has led to a tremendous influx of foreign capital during the past two decades. Constrained by the limited domestic market and ...

Bamboo sector reforms and the local economy of Linan County, Zhejiang Province, People's Republic of China

by: samanta, 17 pages

The impact of county-level bamboo sector reforms on bamboo contributions to the county economy is examined by using aggregate county data and simple analytical methods. The role of the contributions ...

Imperfect Substitutes: The Local Political Economy of Informal Finance and Microfinance in Rural China and India

by: samanta, 21 pages

Banking authorities in both China and India have attempted to limit most forms of informal finance by regulating them, banning them, and allowing certain types of microfinance institutions. The ...

ENABLING OR INHIBITING THE CREATIVE ECONOMY : THE ROLE OF THE LOCAL AND REGIONAL DIMENSIONS IN ENGLAND

by: samanta, 36 pages

This paper addresses issues regarding the development of creative and cultural industries (CCIs) in England from a local and regional perspective. London and the South East are widely regarded as the ...

Enabling or Inhibiting the Creative Economy: the Role of the Local and Regional Dimensions in England

by: samanta, 37 pages

This paper addresses issues regarding the development of creative and cultural industries (CCIs) in England from a local and regional perspective. London and the South East are widely regarded as the ...

Where To Find The Google Adwords Promotional Code

by: ryan, 6 pages

Where To Find The Google Adwords Promotional Code

Content Preview
Find The Local Maximum And Minimum Values
Find The Local Maximum And Minimum Values
In mathematics we Find the Local Maximum and Minimum values for the functions.
There are points in the domain of a function where the function does not attain the
greatest value but the values at these points are greater than or less than the values
of the function at the neighboring points.
Such points are called the local minimum and local maximum point. Let us discuss
about the local minimum and local maximum values for the function.
Local maximum: - A function f ( x ) reaches a local maximum at x = a if there is a
region ( a - , a + ) of a such that
f ( x ) < f ( a ) for all x ( a - , a + ), x a
or f ( x ) - f ( a ) < 0 for all x ( a - , a + ), x a
In this situation f ( a ) is called the local maximum value of f ( x ) at x = a.
KnowMoreAboutAntiderivativeList


Tutorcircle.com
PageNo.:1/4

Local minimum : - A function f ( x ) reaches a local maximum at x = a if there is a
region ( a - , a + ) of a such that
f ( x ) > f ( a ) for all x ( a - , a + ), x a
or f ( x ) - f ( a ) > 0 for all x ( a - , a + ), x a
In this situation f ( a ) is called the local minimum value of f ( x ) at x = a.
The points at which a function attains either the local maximum values or local
minimum values are known as the extreme points.
Let's take an example to find all the points of local maximum and local minimum of
the function.
f ( x ) = x3 - 6x2 + 9x - 8
Solution : - Let y = f ( x ) = x3 - 6x2 + 9x - 8. Then,
dy / dx = f' ( x ) = 3x - 12x + 9x = 3 ( x2 - 4x + 3 )
For a local maximum and local minimum, we have
dy / dx = 0 => 3 ( x2 - 4x + 3 ) = 0 => x = 1, 3.
We have to examine whether these points are points of local maximum or local
minimum or neither of them
ReadMoreAboutAntiDerivativeOf2^x


Tutorcircle.com
PageNo.:2/4

We have dy / dx 3 ( x - 1 ) ( x - 3 )
The change in signs of dy / dx for different values of x are shown in figure.

Clearly, dy / dx changes sign from positive to negative as increase through 1.
Find the Local Maximum and Minimum valuesp: initial; background-color: white;
background-position: initial initial; background-repeat: initial initial; "> x = 1 is a point
of a local maximum.
Also, dy / dx changes sign from negative to positive as x increases through 3.
So x = 3 is a point of a local minimum.
We can do some test on the local maximum and local minimum such as first
derivative and higher order derivative test.


Tut
Tu o
t rc
r i
c rc
r l
c e
l .
e c
. o
c m
Pa
P ge
g
e No
N ..::2/
3 3
/4

ThankYouForWatching
Presentation



Document Outline

  • ﾿

Download
Find The Local Maximum And Minimum Values

 

 

Your download will begin in a moment.
If it doesn't, click here to try again.

Share Find The Local Maximum And Minimum Values to:

Insert your wordpress URL:

example:

http://myblog.wordpress.com/
or
http://myblog.com/

Share Find The Local Maximum And Minimum Values as:

From:

To:

Share Find The Local Maximum And Minimum Values.

Enter two words as shown below. If you cannot read the words, click the refresh icon.

loading

Share Find The Local Maximum And Minimum Values as:

Copy html code above and paste to your web page.

loading