Graphing the Derivative of a Function


In order to be successful with this applet, you will need to have a solid understanding of the geometric interpretations of the derivative.  Recall that the derivative graph will be negative if the original graph is sloping downwards and the derivative graph will be positive if the original graph is sloping upwards. 

For an example that demonstrates how to sketch a graph of a derivative given the graph of a function click here

  1. Begin at the left and drag your mouse to the right to draw the derivative of the function.  The applet will simulate drawing dots where you place the mouse.
  2. The computer will sketch the graph of the true derivative always trailing your progress by a little bit.  It will also simulate drawing dots, but will connect the dots when it you have dragged all the way to the right hand side of the plane.
  3. If you want to erase what you have already drawn, just hit the "Restart" button.
  4. Hit the "Next Graph" button to begin a different problem.


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