# Derivative of Exponential Functions

- Author:
- weinbergmath

- Topic:
- Derivative, Exponential Functions, 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.