Browsing: All Content in Calculus for Derivative at a Point Browse discussions |
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Resource Name |
Topic (Course) |
Technology |
Type |
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Rating |
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Linear Approximations: Quiz
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Local linearity (Calculus) |
Computer |
Activity |
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[0]
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A quiz (with answers) on derivatives as the best linear approximations to functions.
More: lessons, discussions, ratings, reviews,...
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Principles of Calculus Modelin...
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Tangent line (Calculus) |
Computer |
Activity |
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[0]
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Exercises on the slopes of tangent lines to functions.
More: lessons, discussions, ratings, reviews,...
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Principles of Calculus Modelin...
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Approximating rate of change (Calculus) |
Computer |
Activity |
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[1]
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Exercises on average and instantaneous rates of change (PDF).
More: lessons, discussions, ratings, reviews,...
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Principles of Calculus Modelin...
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Local linearity (Calculus) |
Computer |
Activity |
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[0]
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Exercises on derivatives as the best linear approximations to functions (PDF).
More: lessons, discussions, ratings, reviews,...
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Tangent Lines and Their Slopes...
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Tangent line (Calculus) |
Computer |
Activity |
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[0]
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A quiz (with answers) on the slopes of tangent lines to functions.
More: lessons, discussions, ratings, reviews,...
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The Legacy of Newton, Galileo,...
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Approximating rate of change (Calculus) |
Computer |
Activity |
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[1]
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A quiz (with answers) on average and instantaneous rates of change.
More: lessons, discussions, ratings, reviews,...
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From Secant Lines to Tangent L...
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Slope of a curve at a point (Calculus)+ |
Sketchpad |
Activity |
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[1]
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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...
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Derivative at a Point (Calculus)+ |
Sketchpad |
Activity |
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[0]
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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
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Slope of a curve at a point (Calculus)+ |
Sketchpad |
Activity |
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[0]
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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
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Derivative at a Point (Calculus) |
TI-Nspire |
Activity |
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[0]
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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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Secant/ Tangent Applet
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Tangent line (Calculus) |
Computer |
Support Material |
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[1]
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Detailed directions for producing the Geometer's Sketchpad construction used to create the Secant/ Tangent applet.
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secants.m
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Tangent line (Calculus) |
Computer |
Support Material |
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[0]
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A mathematica file used to create animations that illustrate secant lines converging to a tangent.
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SecantTangent.java
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Tangent line (Calculus) |
Java Applet |
Support Material |
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[0]
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Source code for the SecantTangent applet.
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tangent.m
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Tangent line (Calculus) |
Java Applet |
Support Material |
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[0]
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A Mathematica program used to produce an animation of zooming in on a tangent.
More: lessons, discussions, ratings, reviews,...
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Linear Approximations
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Local linearity (Calculus) |
Computer |
Tool |
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[0]
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RealMedia movies on derivatives as the best linear approximations to functions.
More: lessons, discussions, ratings, reviews,...
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Secant/ Tangent
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Tangent line (Calculus) |
Computer |
Tool |
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[0]
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A Geometer's Sketchpad document used to create an applet to investigate the connection between secant lines and the tangent to a function at a point.
More: lessons, discussions, ratings, reviews,...
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Tangent Lines
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Local linearity (Calculus) |
Computer |
Tool |
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[0]
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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.
More: lessons, discussions, ratings, reviews,...
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Tangent Lines and Their Slopes
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Tangent line (Calculus) |
Computer |
Tool |
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[0]
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RealMedia movies of worked problems on finding the slopes of tangent lines to functions.
More: lessons, discussions, ratings, reviews,...
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The Legacy of Galileo and Newt...
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Approximating rate of change (Calculus) |
Computer |
Tool |
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[0]
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RealMedia movies of solved problems on average velocity.
More: lessons, discussions, ratings, reviews,...
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Tangent Lines
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Tangent line (Calculus) |
Flash |
Tool |
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[0]
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Animated description of the tangent line as a limit of secant lines through a point.
More: lessons, discussions, ratings, reviews,...
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Tangent Lines
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Local linearity (Calculus) |
Flash |
Tool |
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[0]
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Animated description of a rigorous method to determine how accurate an approximation to a function the tangent line at a given point is.
More: lessons, discussions, ratings, reviews,...
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A Tabular View of the Second D...
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Approximating rate of change (Calculus) |
Java Applet |
Tool |
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[0]
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A Java applet that introduces the second derivative using a table, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
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Animation of secants approachi...
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Tangent line (Calculus) |
Java Applet |
Tool |
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[0]
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An animation of secant lines approaching the tangent to a parabola. Shows the slope of each secant line.
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Derivate
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Derivative at a Point (Calculus)+ |
Java Applet |
Tool |
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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 Definitions
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Tangent line (Calculus) |
Java Applet |
Tool |
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[0]
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Compare tangent and secant lines to a function.
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