Derivative of Exponential Functions

  1. Sketch what you would expect the derivative to look like. Then click the 'Show Derivative Function' to graph the actual derivative. How close were you?
  2. How would you expect your sketch to change for the derivative of y=3x ?
  3. Graph and make a prediction of the graph of the derivative of y=2−x . Check and see how close you were using the Geogebra tool.
  4. How would you expect your sketch to change for the derivative of y=3x ?
  5. Can you adjust the slider value for a so that the derivative is the same as the function itself? Use the arrow keys to adjust the slider more precisely.