Functions and it's Derivative Graphs

Author:
Jane
Investigate the relationship between f(x) and it's derivative graph f'(x).
GeoGebra Applet
  1. Enter a function for f(x). Note the degree of the your function.
[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]

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