Derivative Of Sine

Drag "A" and look at the trace for f ' (x). What function does it look like?

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Now think about the features of a derivative graph. When f(x) has max's and min's, the derivative should have roots. When f(x) gets steepest, the derivative should have max's and min's. Think about where the sine graph has these features, and how that matches up with the cosine graph....

Dave Matthews, Created with GeoGebra