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A Tabular View of the Second D...

As an instant. rate of change (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces the second derivative using a table, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Adaptive Learning Tool for Mat...

Concept of the Derivative (Calculus) 
Computer 
Tool 

[0]

The ToKToL online adaptive learning platform contains a large (2000) set of maths questions and associated explanatory texts. Questions are selected to adjust to the ability of the student so that whe...
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Average Rate of Change and Der...

As the lim. of the diff. quot. (Calculus) 
Java Applet 
Tool 

[0]

Investigate the tangent as a limit of secant lines, using several different functions.
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Average Velocity and Speed

And average rate of change (Calculus)+ 
Java Applet 
Tool 

[0]

A Java applet that introduces the concepts of average and instantaneous velocity. Includes a rescalable presentation version with large fonts.
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Calculus Made Easy App

Concept of the Derivative (Calculus) 
TI89 
Tool 
$ 
[3]

Contains concise rules and corresponding examples for functions, limits, derivatives, integrals, trigonometry, and BC Calculus.
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Definition of Derivative at a ...

As the lim. of the diff. quot. (Calculus) 
Flash 
Tool 

[0]

Uses the definition of derivative to prove that the absolute value function is not differentiable at x = 0.
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Definition of the derivative

Concept of the Derivative (Calculus) 
JavaScript 
Activity 

[1]

An interactive quiz testing knowledge about the derivative and differentiability.
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Derivate

Concept of the Derivative (Calculus) 
Java Applet 
Tool 

[0]

Begin understanding the meaning of the derivative at a point on a function. View the graph and the equation of the line tangent to any function at any point on the function.
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Derivate

Concept of the Derivative (Calculus) 
Java Applet 
Tool 

[0]

Begin understanding the meaning of the derivative at a point on a function. View the graph and the equation of the line tangent to any function at any point on the function.
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Derivative Definition Exercise

As the lim. of the diff. quot. (Calculus) 
Computer 
Activity 

[1]

Investigate different definitions of the derivative.
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Derivative Definitions Applet

As the lim. of the diff. quot. (Calculus) 
Computer 
Support Material 

[0]

Detailed directions for producing the Geometer's Sketchpad construction used to create the Derivative Definitions applet.
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Derivative Function

As an instant. rate of change (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces the derivative as a function, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Derivative at a Point

As an instant. rate of change (Calculus) 
Java Applet 
Tool 

[1]

A Java applet that introduces the derivative at a point. Includes a rescalable presentation version with large fonts.
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Derivative of e^x

As the lim. of the diff. quot. (Calculus) 
Java Applet 
Tool 

[0]

Use polar coordinates to visualize the derivative of e^x.
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Derivative of log x

As the lim. of the diff. quot. (Calculus) 
Java Applet 
Tool 

[0]

Use polar coordinates to visualize the derivative of log x.
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Differentiability

Differentiability & continuity (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces the concept of differentiability, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Differentials

Leibniz notation (Calculus) 
Flash 
Tool 

[0]

Animated discussion of differentials (dx and dy) and their use in approximating functions.
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Differentiating Powers of x (p...

Concept of the Derivative (Calculus)+ 
Java Applet 
Tool 

[0]

This applet investigates differential calculus of powers of x (polynomials). You can plot the primary function ( ƒ(x) ), its first derivative (differential, the gradient function) ( ƒ'(x) ) and its se...
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Exponential Growth

As an instant. rate of change (Calculus) 
TINspire 
Activity 

[0]

The main objective of this activity is to ﬁnd an approximation for the value of the mathematical constant e and to apply it to exponential growth and decay problems. To accomplish this, student...
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From Secant Lines to Tangent L...

Derivatives analytically (Calculus)+ 
Sketchpad 
Activity 

[1]

This activity demonstrates one of the many ways Sketchpad can be used in a calculus or math analysis class. Here, students explore the relationship between the slopes of secant lines to a curve...
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Function, Derivative and Integ...

Graphical & numerical (Calculus) 
Java Applet 
Tool 

[0]

An interactive demonstration of the relationship between a function, its derivative, and its integral. The function is not defined by a formula but by an interactive graph.
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Functions with absolute value ...

Differentiability & continuity (Calculus) 
Java Applet 
Tool 

[0]

A quiz: determine whether functions based on the absolute value function are differentiable.
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Graphing Calculator (formerly ...

Graphical & numerical (Calculus) 
Computer 
Tool 
$ 
[1]

A very powerful graphing program that is also especially easy to use. You can graph functions in two or more dimensions using different kinds of coordinates. You can make animations and save as movies...
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Graphing f '(x): Increasing, D...

Derivatives analytically (Calculus) 
Sketchpad 
Activity 

[0]

This activity is designed to follow the activities From Secant Lines to Tangent Lines and Slopes and Derivatives [referenced below], but it can easily stand on its own. Using a dynamic t...
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Instantaneous Rate of Change

As an instant. rate of change (Calculus) 
Sketchpad 
Tool 

[1]

Download this Sketchpad file to investigate instantaneous rate using a model of a door operated by a door closer. Students explore the graph of the door's angle as a function of time, and find the lim...
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