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This applet is designed to build the student's visual intuition about the line tangent to a curve at a point being the limit of the secant lines through that point.

Differentiation: Definition and Elementary Application

Properties of the Graph of the Second Derivative

This maplet runs from a server via MapleNet and does not require the user to have Maple installed.

Differentiation: General Applications, One-Variable Calculus, Differentiation: Definition and Elementary Application

Derivatives and Tangent Lines

This applet is designed to build the intuition between the idea of a derivative being the slope of the line tangent to a curve and the idea of a derivative as a function symbolically computed from

Differentiation: Definition and Elementary Application

Function Graphers

This webpage contains links to two separate ActionScript applets for graphing multiple functions.

Functions In General, Graphers and Definitions, One-Variable Calculus

Composition: The Chain Rule

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 \(g\),

Differentiation: Calculation Rules

The Chain Rule

Wolfram's MathWorld has descriptions of the chain rule, both single variable and multivariable versions.

Differentiation: Calculation Rules

The Chain Rule

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

Differentiation: Calculation Rules

Product and Quotient Rules

This site includes descriptions and examples of the Product Rule, the Reciprocal Rule, and the Quotient Rule.

Differentiation: Calculation Rules

MSOffice Math

MSOffice Math is a free add-on to the MSWord2007 that allows the user to insert editable math notation, to simplify algebraic expressions, to solve equations, to differentiate or integrate functio

General Tools

Power Functions

Two adjacent windows display graphs of (1) a function \(f\) and a tangent line, and (2) the derivative \(f '\).

Differentiation: Calculation Rules, One-Variable Calculus