Functions and it's Derivative Graphs
Investigate the relationship between f(x) and it's derivative graph f'(x).
Enter a function for f(x). Note the degree of the your function.
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]
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