The maximum of a set, function, etc. is the largest value attained by that object.
Maximum is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic and is listed in the California State Standards for Calculus.
|Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects.
|A derivative is the infinitesimal rate of change in a function with respect to one of its parameters.