In this lesson we are going to take a look at absolute minima and maxima. First, we will introduce the definitions of absolute minima and maxima. In mathematical analysis, the maxima and minima (the plural of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema). Then we will see that extrema can only occur at certain points and we will explain those points little bit more in detail. Lecture examples are also included.
These are also
called global minima/maxima, or absolute/global extrema.
critical points occur where the derivative is zero or the derivative
Remember to check
Here we are simply
looking for the smallest value and largest value (there could also
be a tie).
Absolute Minima and Maxima
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.