Extreme value theorem

The  exercise appears under the Differential calculus Math Mission. This exercise experiments with finding extreme values on graphs.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find the absolute extremum: This problem provides a function that has an extreme value. The student is asked to find the value of the extreme value and the place where this extremum occurs. It can ask for the value to be written, or expect the answer to be taken from a multiple choice list.Evt1.png

Strategies
Knowledge of derivatives and rectilinear motion are encouraged to ensure success on this exercise.
 * 1) The extreme value theorem says that a continuous function on a closed interval always attains a maximum and minimum.
 * 2) A function attains it's extreme value at either a critical point or at an endpoint.

Real-life Applications

 * 1) Most of the problems in this subsection are applications in some sense, so the majority of the exercises are applications also.