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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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Principles of Calculus Modelin...

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

[1]

Exercises on derivatives and the limit definition of the derivative (PDF).
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Secant/Tangent Exercise

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

[1]

Use the Secant/ Tangent Applet to investigate the limit of the difference quotient for a particular function.
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The Derivative: Quiz

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

[1]

Quiz (with answers) on derivatives and the limit definition of the derivative.
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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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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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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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Sketchpad Activities for Intro...

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

[0]

Sketchpad Activities for Introducing Calculus Topics is a series of five activities designed to introduce students to the basic concepts of calculus. Use these activities near the end of Precalculus c...
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Slopes and Derivatives

Derivatives analytically (Calculus) 
Sketchpad 
Activity 

[0]

This activity demonstrates one of the many ways Sketchpad can be used in a calculus or math analysis class. Students manipulate a tangent line to a curve to investigate what it means for a curve to ha...
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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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Reading Graphs

Concept of the Derivative (Calculus) 
Java Applet 
Lesson Plan 

[2]

Demonstrates the connections between formulas, graphs and words.
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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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The Derivative

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

[0]

Definition of the derivative, and calculations of some derivatives from the definition.
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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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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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The Derivative

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

[0]

RealMedia movie on the limit definition of the derivative.
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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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Differentials

Leibniz notation (Calculus) 
Flash 
Tool 

[0]

Animated discussion of differentials (dx and dy) and their use in approximating functions.
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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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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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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 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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