Exploration: Intuitive Derivative Graphing Exercise

Directions

1) Drag the White dots up and down to make the line segments tangent. 2) Then select the "Check your work" button. 3) Answer the question below

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. 5) Repeat steps 1 and 2.

NOTE:

If you would like to try this exercise multiple times, simply use the delete icon Toolbar Image to erase any previous sketches you made. Then, reposition any one (or more) of the four green points to get an entirely different graph. Just be sure not to move any green points in the middle of an exercise, at it will change the graph of the entire function. Note: If you do move any of the light green points and the function graph disappears, simply refresh the page in your browser.

Quick (Silent) Demo