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Topic (Course) 
Technology 
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Linear Approximations

Local linearity (Calculus) 
Computer 
Tool 

[0]

RealMedia movies on derivatives as the best linear approximations to functions.
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Linear Approximations: Quiz

Local linearity (Calculus) 
Computer 
Activity 

[0]

A quiz (with answers) on derivatives as the best linear approximations to functions.
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Principles of Calculus Modelin...

Local linearity (Calculus) 
Computer 
Activity 

[0]

Exercises on derivatives as the best linear approximations to functions (PDF).
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Tangent Lines

Local linearity (Calculus) 
Computer 
Tool 

[0]

An animation of zooming in on the function f(x) = 5^x at x=0 until the function and its tangent line appear to coincide.
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Tangent Lines

Local linearity (Calculus) 
Flash 
Tool 

[0]

Animated description of a rigorous method to determine how accurate an approximation to a function the tangent line at a given point is.
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Derivate

Local linearity (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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Derivatives of Trigonometric F...

Local linearity (Calculus) 
Java Applet 
Tool 

[0]

Zoom in on graphs of the sine and cosine functions.
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Error Function

Local linearity (Calculus) 
Java Applet 
Tool 

[0]

Investigate the error function for different curves and different approximations to those curves.
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Linear Approximations

Local linearity (Calculus) 
Java Applet 
Tool 

[0]

Zoom in on a given function, or compare the function with a linear approximation at the origin.
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Linear Approximations

Local linearity (Calculus) 
Java Applet 
Tool 

[0]

Investigate the error of various linear approximations to a function.
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Linear Approximations

Local linearity (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that illustrates the use of the derivative in finding a linear approximation to a function, with questions to answer using the applet. Includes a rescalable presentation version with la...
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Zoom

Local linearity (Calculus) 
Java Applet 
Tool 

[0]

Zoom in on various functions, some differentiable and some not.
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Linear Approximations

Local linearity (Calculus) 
JavaScript 
Tool 

[0]

Generate tables to compare the values of a function of the form f(x) = x^n and the approximation by a particular tangent line.
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Slopes and Derivatives

Local linearity (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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