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Three adjacent windows display graphs of (1) a function $$f$$, a tangent line, and color-coded horizontal and vertical segments for the coordinates of the point of tangency, (2) a function $$g$$,

Wolfram's demo for the quotient rule, with dropdown menus for the functions. Users can download the free Mathematica Player to play a live version of the demo.

Instructors' notes break down steps for illustrating fundamental concepts for understanding and developing equations that model optimization problems, commonly referred to as max-min problems.
Java applet allows the user to visualize the method of cylindrical shells for finding the volume of a solid formed by revolving a specific region about the $$y$$-axis.

This maplet provides guided practice in the mechanics of working related rates problems (with feedback and hints).

This web page includes an interactive Java applet to visualize finding an open-topped box of maximum volume by cutting square corners from a flat sheet of cardboard and folding the sides up.

This graphic presentation illustrates the relationship between the shape of a function and location of its inflection points.

This web page includes an interactive Java applet that allows users to attempt to sketch the graph of the derivative of various functions presented graphically, showing the true derivative graph o
This web page includes an interactive Java applet that allows users to attempt to sketch an anti-derivative graph of various functions presented graphically, showing the true anti-derivative on a
Worksheets are provided with sample questions on investigating extrema for AP test questions.