Derivative Applet

This applet is designed to help students understand the relationships between functions, tangent lines, and derivatives. Enter in a function in the box to be displayed on the screen. Move the tangent line around to view the movement. Click 'Show f'(x)' to view the derivative of the inputted function.
Use the applet to answer the following prompts: 1. List at least three functions that you studied with the app. What observations did you make about the tangent line and derivative of the functions? 2. What does the slope of the tangent line at a point represent? Write at least three sentences explaining your answer.