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About the Class
A function is a monotone or monotonic function if it preserves a particular order. A function may "strictly" increase or "strictly" decrease in its domain or in a subset of its domain where the strictly signifies that the function cannot be constant for that particular subset or set. An an example, the y=|x| function stricly decreases for x<0 & strictly increases for x>0 with its derivative beign +/- unity. A function may also simply be increasing (constant/inc.) & decreasing (contant/dec.) losing the ''strict'' sense.
The Extremum of a function refers to its maximum or minimum value. When a small part of the function is taken into account, the extrema is called "local" & when its whole domain is taken into account, its called a "global" extrema. We can conclude that a global extream is also a local extrema, however, a local extema may or may not be a global extrema. We will discuss the various methods of finding the extrema of functions.
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Keywords: mathematics, derivatives, function, domain