Functions and it's Derivative Graphs

Investigate the relationship between f(x) and it's derivative graph f'(x).

[list=1] [*]Enter a function for f(x). Note the degree of the your function. [/list] [list=2] [*]Drag point A along f(x) and see how point S (x, m); where m is the slope of the tangent line at x. [/list] [list=3] [*]Note the degree of the function outlined by S. [/list] [list=4] [*]Check your answer by checking off the "Show f'(x)" box. [/list] [list=5] [*]Repeat with various polynomial functions. Do you see a pattern? [/list]