September 17, 2009
No CommentsExplanation of the Monotonicity Theorem
Description
A detailed tutorial on the solving of the Monotonicity Theorem. Step by step tutorial including several examples of how to solve the Monotonicity Theorem for reference.
Overview
The Monotonicity Theorem is used to determine if a function is increasing or decreasing. The Monotonicity Theoream states that:
If f ‘(x) > 0 the function is increasing
If f ‘(x) < 0 the function is decreasing
This is basically a repeat of information you already know. The derivative is the same as the slope of a line, and it is obvious to anyone who has spent time studying grpahs that a positive slope increases and a negative slope descreases. Simply find your function, take a derivative, and set it to either less than or greater than 0 to figure out if your graph will be increasing or decreasing.
