Exploration: Intuitive Derivative Graphing Exercise

Directions
1) Drag the White dots up and down to make the line segments tangent.[br]2) Then select the "Check your work" button.[br]3) Answer the question below[br][br][br][br]
How is the white graph related to the blue graph?
Directions continued...
4) Now move the green dots to change the shape of the graph.[br]5) Repeat steps 1 and 2. [br][br][br][br]
NOTE:
If you would like to try this exercise multiple times, simply use the delete icon [icon]/images/ggb/toolbar/mode_delete.png[/icon] to erase any previous sketches you made. Then, reposition any one (or more) of the four [b][color=#38761d]green points [/color][/b]to get an entirely different graph. [br][br][i][b][color=#38761d]Just be sure not to move any green points in the middle of an exercise[/color][/b], at it will change the graph of the entire function. [br][br][/i][b]Note: [/b][br]If you do move any of the [b][color=#38761d]light green points[/color][/b] and the function graph disappears, simply refresh the page in your browser.
Quick (Silent) Demo
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Information: Exploration: Intuitive Derivative Graphing Exercise