# Derivative Grapher

- Author:
- John Basler

- Topic:
- Derivative

Below is the graph of f(x).
The point labeled "SlopeOfTheTangentLine has a y value that is the slope of the line tangent to the point "DragMe"
You can graph the derivative of this function by
1. Clicking the "Begin Graphing the Derivative" button, then
2. Dragging the point "DragMe"
The graph of the f '(x) will be traced onto the screen.
When you click "Stop Graphing The Derivative" the graph will disappear.
Change the equation of f(x) in the top left corner in order to change the function.

For each of the following functions, compare the graphs of the derivative of the functions to the common functions that you are familiar with. Can you figure out the equation of the derivative functions?
a. f(x) = x^2
b. f(x) = sin(x)
c. f(x) = ln(x)
d. f(x) = cos(x)
e. f(x) = tan(x)
f. f(x) = e^x