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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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From Secant Lines to Tangent L...

As the lim. of the diff. quot. (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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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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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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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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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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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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The Derivative of the Sine

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

[0]

Investigate the changes in sin (x+h)  sin (x) as the angle varies.
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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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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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The Derivative

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

[0]

Plots different quotients of a cubic function for varying h.
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Tangent Lines

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

[0]

Use tables of values to estimate the limit of the difference quotient for a given function. (Function names must be entered using Javascript notation.)
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Tangent Lines

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

[0]

Use a table to numerically estimate the slope of the tangent line to f(x) = a^x at x=0.
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