How are global and local max/min different if the process of finding them is the same - equate the derivative to zero and plug the solution in the original function?

Question

anonymous · Answer

I know the difference graphically, I just don't understand it mathematically.

paxpolaris · Answer

you can have  at most 1 global min and global max  (so, either none or 1) 

.... you can have as many local min/ max as you want

anonymous · Answer

So when I do the calculations, how can I tell if what I got is a global or a local value?

paxpolaris · Answer

you can have a function that is not continuous ... where  the global max / min is not on any local max/ min|dw:1419712575935:dw|