Unit 3: First Derivative and Second Derivative of a Function

This applet displays a function f(x), its derivative f '(x) and its second derivative f ''(x). Grab open blue circles to modify the function f(x). Grab a solid circle to move a "test point" along the f(x) graph or along the f '(x) graph.
Move the open circles around to adjust for the curve you want. Try selecting boxes, moving points and so on until you become comfortable with the mechanics of this applet. Then select some boxes as needed in order to focus on particular comparisons and relationships.