The applet illuminates the relationship between graphs of functions and their derivatives. A graph of a randomly generated function f(x) is provided. The student attempts to sketch the graph of the derivative f '(x) by dragging and shaping a curve. The answer is evaluated for correctness at a click of a button providing instant feedback.

Click the screen shot below or this link to open the applet in a new window:

The new element in this applet is the way the user draws the derivative by dragging points on a curve. The user can smooth the graph by pressing the 'smooth' button to avoid ragged edges and sharp corners. The user's answer is evaluated by comparing it with the correct derivative in terms of sign and distance.

AS3 Code Behind the Applet

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