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Technology 
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Principles of Calculus Modelin...

Mean Value Theorem (Calculus) 
Computer 
Activity 

[0]

Exercises on the Mean Value Theorem (PDF).
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The Mean Value Theorem: Quiz

Mean Value Theorem (Calculus) 
Computer 
Activity 

[0]

Quiz (with answers) on the Mean Value Theorem.
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Graphing f '(x): Increasing, D...

Graph of f vs. f' (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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Slopes and Derivatives

Graph of f vs. f' (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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The Area Function

Graph of f vs. f' (Calculus) 
TINspire 
Activity 

[0]

In this activity, students will look at the graph of a function g(x), defined to be the integral of a function f(x), with the goal of understanding Part 1 of the Fundamental Theorem of Calculus. Speci...
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The Solution of a Variable Bou...

Derivative as a Function (Calculus) 
Computer 
Support Material 
$ 
[0]

The relations between stress and strain in linear viscoelastic theory are discussed from the viewpoint of application to problems of stress analysis. This consideration includes some important diff...
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Maxima and Minima

Meaning of critical points (Calculus) 
Flash 
Support Material 

[0]

Discussion of methods for finding the maxima and minima of differentiable functions.
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Adaptive Learning Tool for Mat...

Derivative as a Function (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 ...

Derivative as a Function (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 Mean Value Theorem

Mean Value Theorem (Calculus) 
Computer 
Tool 

[0]

RealMedia movies of worked problems on the Mean Value Theorem.
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A Derivative Plotter

Graph of f vs. f' (Calculus) 
Flash 
Tool 

[1]

The applet illustrates the geometric interpretation of the derivative.
The user can enter a formula and the applet will graph an arbitrary function. The user can sketch the derivative of the fun...
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Maxima and Minima

Meaning of critical points (Calculus) 
Flash 
Tool 

[0]

Animated discussion of the derivative of a function at a local maximum or minimum.
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Mean Value Theorem

Mean Value Theorem (Calculus) 
Flash 
Tool 

[0]

Proof of Rolle's Theorem.
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Mean Value Theorem

Mean Value Theorem (Calculus) 
Flash 
Tool 

[0]

Proof of the Mean Value Theorem.
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Mean Value Theorem

Mean Value Theorem (Calculus) 
Flash 
Tool 

[0]

Uses the Mean Value Theorem to prove that a function with strictly positive derivative on an interval is increasing on that interval.
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A Tabular View of the Second D...

Meaning of the sign of f' (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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Critical Points

Graph of f vs. f' (Calculus) 
Java Applet 
Tool 

[0]

Compare the graphs of a function and its derivative.
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Cubic Derivative

Graph of f vs. f' (Calculus) 
Java Applet 
Tool 

[0]

View the graphs of a cubic function and its derivative.
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Derivative Function

Derivative as a Function (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 Function Java Apple...

Graph of f vs. f' (Calculus) 
Java Applet 
Tool 

[0]

Graph selected functions, their tangent at a particular point, and their derivatives.
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Derivative of Exponential Func...

Graph of f vs. f' (Calculus) 
Java Applet 
Tool 

[0]

Graph the derivatives of e^x and log x.
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Derivative of Trigonometric Fu...

Graph of f vs. f' (Calculus) 
Java Applet 
Tool 

[0]

Graph the derivative of the sine and cosine functions.
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Derivative of y=x^2

Graph of f vs. f' (Calculus) 
Java Applet 
Tool 

[0]

Graph the derivative of certain polynomial functions.
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Derivative puzzle 1

Graph of f vs. f' (Calculus) 
Java Applet 
Tool 

[1]

Match graphs of polynomial functions with the graphs of their derivatives. Also includes exercises, solutions, and didactic background.
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Derivative puzzle 2

Graph of f vs. f' (Calculus) 
Java Applet 
Tool 

[1]

Match graphs of logarithmic and hyperbolic functions with the graphs of their derivatives. Also includes exercises, solutions, and didactic background.
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