Derivative Function: Without Words

In the applet below, a function [i]f [/i]is shown (black). [br]Its derivative function, f', is shown in gray. [br][br]Feel free to input any function you'd like. [br][br]Slide the slider to see the physical meaning of the derivative of a function (at a certain input value: x-coordinate of white point) within this graphical context. [br][br][i]How can we sketch the graph of the derivative of a function? Explain. [/i]
Quick Demo (BGM: Andy Hunter)

Information: Derivative Function: Without Words