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Topic (Course) 
Technology 
Type 
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Secant line approximations to ...

Tangent line (Calculus)+ 
Java Applet 
Tool 

[0]

Compare the slope of secant lines on the parabola y = x^2 to the tangent line to the parabola at (1, 1)
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Secant/ Tangent

Tangent line (Calculus) 
Java Applet 
Tool 

[0]

Investigate the connection between secant lines and the tangent to a function at a point.
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SecantTangent Applet

Tangent line (Calculus) 
Java Applet 
Tool 

[1]

Experiment with secant line approximations to a tangent to a function. Includes extensive directions for customizing the applet.
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Secants and tangent

Tangent line (Calculus) 
Java Applet 
Tool 

[0]

An animation of secant lines approaching the tangent to a parabola; the tangent is also drawn. Shows the slope of each secant line.
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Second Derivative

Approximating rate of change (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces the second derivative, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Slope

Slope of a curve at a point (Calculus)+ 
Java Applet 
Tool 

[0]

Students try to get a tangent line to a function at a point. They have the option of showing a difference quotient and zooming in.
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Slope Demonstration

Slope of a curve at a point (Calculus) 
Java Applet 
Tool 

[1]

See the slope of the line between two points on a line or parabola.
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Tabular View of the Derivative

Approximating rate of change (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces the derivative using a table, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Tangent Line

Tangent line (Calculus)+ 
Java Applet 
Tool 

[0]

Graph the tangent line to a function at different points.
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Tangent Line

Tangent line (Calculus) 
Java Applet 
Tool 

[0]

Enter a function or choose one from the list, and investigate the behavior of a secant line as it approaches the tangent line at a point.
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Tangent Lines and Their Slopes

Tangent line (Calculus) 
Java Applet 
Tool 

[0]

Compare secant and tangent lines to the graph of y=x^2 at the point (1,1).
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The Derivative

Tangent line (Calculus) 
Java Applet 
Tool 

[0]

Watch the secant line to a function approach the tangent line.
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The Legacy of Galileo, Newton,...

Approximating rate of change (Calculus) 
Java Applet 
Tool 

[0]

Compare average and instantaneous velocities of the position function s(t) = 4.9 t^2.
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The Number e (1)

Slope of a curve at a point (Calculus) 
Java Applet 
Tool 

[0]

Increase or decrease the value of a in y = a^x until you find a function that has a tangent line with slope 1 at x=0.
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Twice Differentiable

Approximating rate of change (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces the concept of being differentiable twice, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Vertical Scaling

Tangent line (Calculus) 
Java Applet 
Tool 

[0]

Stretch or squeeze a parabola and watch the direction of its tangent line change.
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WebGrapher

Tangent line (Calculus) 
Java Applet 
Tool 

[1]

This is a Java graphing applet that can be used online or downloaded. The purpose it to construct dynamic graphs with parameters controlled by user defined sliders that can be saved as web pages or em...
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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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Zooming in on a tangent

Tangent line (Calculus) 
Java Applet 
Tool 

[0]

Animation showing that the tangent line to a smooth curve is indistinguishable from the curve at high levels of magnification.
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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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powerOne^{TM} Graph v4

Derivative at a Point (Calculus) 
Palm OS 
Tool 
$ 
[1]

powerOne(r) Graph supports computation & graphing in the mathematics classroom. The following tasks can be done with this software on a handheld computer including: 
Calculus Made Easy App

Derivative at a Point (Calculus) 
TI89 
Tool 
$ 
[3]

Contains concise rules and corresponding examples for functions, limits, derivatives, integrals, trigonometry, and BC Calculus.
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