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Wolfram's demo for the first four derivatives of a fifth degree polynomial, with sliders for the coefficients of the polynomial and a particular value of \(x\).

Differentiation: Calculation Rules

Combinations: Product and Quotient

Three adjacent windows display graphs of (1) a function \(f\) and its derivative, (2) a function \(g\) and its derivative, and (3) a function \(h\) and its derivative.

Differentiation: Calculation Rules, One-Variable Calculus

Illustrating the Washer Method

Java applet allows the user to visualize the washer method for finding the volume of a solid formed by revolving a specific region about the \(x\)-axis.

Integration: Applications

Moving Secant Line

This animation shows how a secant line approximates the tangent line at a fixed point when its other intersection with the curve is forced toward the fixed one. This is a Quick Time movie.

Differentiation: Definition and Elementary Application

Measuring Slope and Plotting the Derivative

This animation shows how to use the slope of a curve to plot the derivative for that curve.

Differentiation: Definition and Elementary Application

Leibniz's Rules for the Derivative

Leibniz: First Published Rules for the Derivative: Images of the first appearances of the Product and Quotient Rules in print in an article by Leibniz in a 1684 issue of the journal Acta Eruditoru

History of Calculus

Index of Classic Plane Curves and Surfaces

Alphabetical list of well-known curves from Apple of Discord (Cycloid) and Astroid to Wankel's Engine (Reuleaux Polygons) and Witch of Agnesi, with graphs, equations, interesting facts, and histor

History of Calculus

The Brachistochrone: The Famous Problem of Fastest Descent: A Classic among All Classics

Graphs of the brachistochrone curve, including an animation of a "race" along it and other curves, and much historical background.

History of Calculus

The Changing Concept of Change: The Derivative from Fermat to Weierstrass

History of Calculus, One-Variable Calculus

Ideas of Calculus in Islam and India

History of Calculus, One-Variable Calculus