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Wolfram's demo for the chain rule, with a selection of possible "inside" and "outside" functions, and sliders for specifying a value of \(x\) and for adjusting the scales of plots showing graphs o
Wolfram's MathWorld has descriptions of the chain rule, both single variable and multivariable versions.
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.
Instructors notes break down steps for twelve traditional related rates problems that are illustrated via animated gif and quicktime movies.

This graphic presentation illustrates the relationship between the shape of a function and the sign of the first derivative.

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

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