Practice: Intuitive Derivative Graphing Exercise: REVAMPED!!!
1) Drag the White dots up and down to make the line segments tangent.
2) Then select the "Check your work" button.
3) Drag the slider to the right slowly.
4) Answer the questions below.
What do the straight lines represent (when you drag the slider ALL the way to the right)?
Why are some arrows red and some arrows blue?
When you begin to move the slider, black lines of length 1 begin to appear. What do these black horizontal line segment represent?
Why do the black lines have a length of 1?
NOTE:
If you would like to try this exercise multiple times, simply use the delete icon 
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.
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.