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optimization question

thinkbot

New member
Dec 14, 2013
5
How are Finding the max and min of a optimization problem different. and how do you distinguish them in an equation?
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Finding the critical values is the same, and then we can use either the first or second derivative tests to determine the nature of the extremum, or whether it is actually an extremum or not.

Are you familiar with these two tests?
 

thinkbot

New member
Dec 14, 2013
5
Yes I am familiar
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775

thinkbot

New member
Dec 14, 2013
5
find f^1(x) = 0 x('s)= critical numbers plus some points (a,b) or [a,b]
f(x,a,b) = extrema Larget # max smallest # min
Using f^2(x) for the critical #'s f2(x) > 0 then min and ect.
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
find f^1(x) = 0 x('s)= critical numbers plus some points (a,b) or [a,b]
f(x,a,b) = extrema Larget # max smallest # min
Using f^2(x) for the critical #'s f2(x) > 0 then min and ect.
I meant can you explain how and why the first and second derivative tests for relative extrema work, i.e., the rationale behind them.