Local maximum and global maximum.

AI Thread Summary
A local maximum refers to the highest point within a specific region of a graph, while a global maximum is the absolute highest point across the entire graph. The distinction lies in the scope of their definition; local maxima can exist within a broader context without being the highest overall. Understanding this difference is crucial for analyzing functions and their behaviors. Clarifying these concepts can enhance comprehension of optimization problems in mathematics. Overall, grasping the difference between local and global maxima is essential for effective graph analysis.
joejo
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hey guys...Can someone help me out here...i'm trying to understand what the difference between a global maximum and a local maximum is? arn't they the same??
 
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I'm not positive about this but I think that a local maximum is just the highest point in an area of the graph, not necessarily the highest point on the graph. The global maximum would be the highest point on the whole graph, no point would be higher than it is.
 
Sounds right to me.
 
thanks guys...can anyone explain in a bit detail so I can understand better
 

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