Constructing Graphs of Derivative Functions (Intuitively)

In the following applet,[color=#1551b5] the graph of a function is shown (in blue)[/color]. You'll also notice there are [color=#c51414]9 red points[/color]. The y-coordinate of each red point is the slope of the black line displayed either directly above or below it (or in some cases, directly on it). [br][br][b]Your job is to move these [color=#c51414]9 red points[/color] up and/or down so that ALL the black lines APPEAR TANGENT to the graph of the [color=#1551b5]blue function[/color][/b]. [br][br]This exercise was designed to help you better intuitively understand how one can, given an original function, construct the graph of the derivative function. After completing each exercise, check the[color=#c51414] "Show Graph of Derivative Function" checkbox[/color] to see how you did.[br][br]Click on the "Generate New Graph" button as many times as you need to practice this exercise.

Information: Constructing Graphs of Derivative Functions (Intuitively)