# Derivative of Exponential Functions

- 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?
- How would you expect your sketch to change for the derivative of y=3x ?
- 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.
- How would you expect your sketch to change for the derivative of y=3x ?
- 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.

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