My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Thanks Tree3Thanks
  • 2 Post By Country Boy
  • 1 Post By skeeter
Reply
 
LinkBack Thread Tools Display Modes
May 15th, 2016, 10:09 PM   #1
Senior Member
 
Joined: Feb 2014

Posts: 112
Thanks: 1

Local Minima and Local Maxima

Hello,
How can determine local minima and local maxima in under graph?
Thanks
Attached Images
File Type: jpg fuzzyHis.JPG (44.5 KB, 10 views)
life24 is offline  
 
May 16th, 2016, 09:51 AM   #2
Math Team
 
Joined: Jan 2015
From: Alabama

Posts: 2,566
Thanks: 662

Do you not know what "local minima" and "local maxima" mean? A point on an xy- graph is a "local minimum" if and only if The y-value at that point is lower than that of points in some small interval around it. On this graph the point at what looks like (30, 4000) (we can only estimate those values, of course) is not just a "local" maximum but a "global" maximum. It also looks like (40, 600) is a local maximum but that's more subtle. Similarly, it looks like (51, 500) is a local minimum. There are, of course, several more. If you are looking for a way of calculating precise values from this graph, there are none. Look at the graph and pick points that appear to be higher (or lower) than points immediately around them.
Thanks from skeeter and life24
Country Boy is offline  
May 16th, 2016, 10:42 AM   #3
Senior Member
 
Joined: Feb 2014

Posts: 112
Thanks: 1

Quote:
Originally Posted by Country Boy View Post
Do you not know what "local minima" and "local maxima" mean? A point on an xy- graph is a "local minimum" if and only if The y-value at that point is lower than that of points in some small interval around it. On this graph the point at what looks like (30, 4000) (we can only estimate those values, of course) is not just a "local" maximum but a "global" maximum. It also looks like (40, 600) is a local maximum but that's more subtle. Similarly, it looks like (51, 500) is a local minimum. There are, of course, several more. If you are looking for a way of calculating precise values from this graph, there are none. Look at the graph and pick points that appear to be higher (or lower) than points immediately around them.
Thank you for your reply,
Why we haven't local maximum?
How can calculate these feature with formula?
What are formula?
Thanks
life24 is offline  
May 16th, 2016, 11:35 AM   #4
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,593
Thanks: 1285

Do you have a function that models the graph, or is this just a plot of connected data points?
skeeter is offline  
May 16th, 2016, 12:14 PM   #5
Senior Member
 
Joined: Feb 2014

Posts: 112
Thanks: 1

Quote:
Originally Posted by skeeter View Post
Do you have a function that models the graph, or is this just a plot of connected data points?

Thank you,
Just a plot of connected data points
life24 is offline  
May 16th, 2016, 01:01 PM   #6
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,593
Thanks: 1285

Quote:
Originally Posted by life24 View Post
Just a plot of connected data points
There are numerical methods to determine extrema of data plots as discussed at the link ...

Finding Local Extrema » File Exchange Pick of the Week
Thanks from life24
skeeter is offline  
May 16th, 2016, 01:58 PM   #7
Senior Member
 
Joined: Feb 2014

Posts: 112
Thanks: 1

Quote:
Originally Posted by skeeter View Post
There are numerical methods to determine extrema of data plots as discussed at the link ...

Finding Local Extrema » File Exchange Pick of the Week
Thanks
If we suppose a function that models the graph,now how can determine?
life24 is offline  
May 16th, 2016, 03:34 PM   #8
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,593
Thanks: 1285

Good question ... given the graph's behavior, I imagine it wouldn't be easy.
skeeter is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
local, maxima, minima



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Local max, local min, or saddle point mastermind Calculus 1 February 27th, 2015 03:14 PM
local minima and maxima Robert Lownds Calculus 1 May 13th, 2013 07:49 AM
Critical Points/Local Maxima and Minima ckooiker Calculus 2 November 5th, 2011 10:29 AM
Finding local maxima of a discrete function Hankyaku Algebra 0 June 16th, 2010 02:09 AM
Derivative Rules and local maxima/minima funsize999 Calculus 4 April 27th, 2009 02:40 PM





Copyright © 2017 My Math Forum. All rights reserved.