How do max/min problems relate to other mathematical concepts?

[Physics197]

Just in preperation of my final exam, I was wondering if anyone could help me with the following:

1. What to look for in the question to solve a max/min problem.
2. Some general steps to outline my process of solving one problem.

Also: How do max/min problems relate to the following.
Limits,
Logarithmic diff.,
Implicit diff.,
Related rates.
(Some may not connect but on my review it said to "know how to relate the following topics", I'm just having trouble with relating stuff to Max/Min problems.

Thanks

 

[fresh_42]

Just in preperation of my final exam, I was wondering if anyone could help me with the following:

1. What to look for in the question to solve a max/min problem.

Linear programming, operations research.

2. Some general steps to outline my process of solving one problem.

This depends on the nature of the problem. Easy ones, i.e. linear and convex, are solved by the Simplex algorithm.

Also: How do max/min problems relate to the following.

This is a bit too vague. I mean, a local extrema of a real, smooth function is obtained when its first derivative vanishes and derivatives are limits. But this is a bit far fetched in my opinion to call it related.

Limits,
Logarithmic diff.,
Implicit diff.,
Related rates.
(Some may not connect but on my review it said to "know how to relate the following topics", I'm just having trouble with relating stuff to Max/Min problems.

Thanks