Sketching Derivatives of Freehand Drawn Functions

Shown below are 3 hand-drawn function graphs. Each function is named . Complete the following steps for the first graph (for now).

  • Use the MOVE Toolbar Image tool to drag point A along .
  • Use the POINT Toolbar Image tool to plot the locations of several key points that you know lie on the graph of the derivative of .
Note: The next 3 steps are illustrated in the video below the first app.
  • Use the PEN Toolbar Image tool to draw a sketch of what you think the graph of looks like.
  • Plot the point . This point lies on the graph of .
  • Right click on the point you plotted in the last step. Select SHOW TRACE. Then drag A around the graph slowly.
Question: Explain why the point lies on the graph of . Also, how did you do?

After completing the steps above, right click on the point you plotted in the last step. Select SHOW TRACE. Then drag A around the graph slowly. How did you do?

Last 3 steps: Quick silent demo

Try to sketch the graph of f' here!

What would the graph of f' look like here?