Move the point T along the graph of y=sin(x) by moving the slider. The slope function (derivative) is then traced out in blue. Can you identify the graph of the derivative? This is a Java Applet ...

Recall that a function can be thought of as a machine which takes an input in (say x) and then depending on what that input is, it returns an output (say y) by some predefined rule (say f). The graph ...