Extreme Value Theorem
The extreme value theorem states that a continuous function on a closed interval has both a maximum and minimum value.
Extreme value theorem 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.
|A continuous function is function with no jumps, gaps, or undefined points.
|A derivative is the infinitesimal rate of change in a function with respect to one of its parameters.