2.5: Derivative as a Function
The graph of a function has many key components that can be useful in various scenarios. A graph can tell a company when it is making a profit, when it is experiencing a loss, or when its revenues fluctuate between profit and loss. A sine wave is a natural occurring pattern in ocean, sound, and light waves. The graph of a function can also determine maximum and minimum amount as well.
Subunit 2.5 highlights derivatives and their relationship to the graphs of various functions. The first and second derivatives tests determine important points on the graph as well as increasing and concavity intervals. Other key components of graphing that are explored include these: domain/range, asymptotes, and x- and y- intercepts.