Browsing: All Content in Calculus for Concept of the Derivative Browse discussions |
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Resource Name |
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Technology |
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Derivative Definition Exercise
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As the lim. of the diff. quot. (Calculus) |
Computer |
Activity |
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[1]
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Investigate different definitions of the derivative.
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Principles of Calculus Modelin...
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As the lim. of the diff. quot. (Calculus) |
Computer |
Activity |
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[1]
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Exercises on derivatives and the limit definition of the derivative (PDF).
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Secant/Tangent Exercise
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As the lim. of the diff. quot. (Calculus) |
Computer |
Activity |
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[1]
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Use the Secant/ Tangent Applet to investigate the limit of the difference quotient for a particular function.
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The Derivative: Quiz
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As the lim. of the diff. quot. (Calculus) |
Computer |
Activity |
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[1]
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Quiz (with answers) on derivatives and the limit definition of the derivative.
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Definition of the derivative
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Concept of the Derivative (Calculus) |
JavaScript |
Activity |
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[1]
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An interactive quiz testing knowledge about the derivative and differentiability.
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From Secant Lines to Tangent L...
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Derivatives analytically (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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Derivatives analytically (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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Sketchpad Activities for Intro...
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As an instant. rate of change (Calculus) |
Sketchpad |
Activity |
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Sketchpad Activities for Introducing Calculus Topics is a series of five activities designed to introduce students to the basic concepts of calculus. Use these activities near the end of Precalculus c...
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Slopes and Derivatives
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Derivatives analytically (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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As an instant. rate of change (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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Reading Graphs
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Concept of the Derivative (Calculus) |
Java Applet |
Lesson Plan |
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[1]
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Demonstrates the connections between formulas, graphs and words.
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Derivative Definitions Applet
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As the lim. of the diff. quot. (Calculus) |
Computer |
Support Material |
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[0]
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Detailed directions for producing the Geometer's Sketchpad construction used to create the Derivative Definitions applet.
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The Derivative
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As the lim. of the diff. quot. (Calculus) |
Computer |
Support Material |
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[0]
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Definition of the derivative, and calculations of some derivatives from the definition.
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Graphing Calculator (formerly ...
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Graphical & numerical (Calculus) |
Computer |
Tool |
$ |
[1]
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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 Derivative
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As the lim. of the diff. quot. (Calculus) |
Computer |
Tool |
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[0]
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RealMedia movie on the limit definition of the derivative.
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Definition of Derivative at a ...
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As the lim. of the diff. quot. (Calculus) |
Flash |
Tool |
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[0]
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Uses the definition of derivative to prove that the absolute value function is not differentiable at x = 0.
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Differentials
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Leibniz notation (Calculus) |
Flash |
Tool |
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Animated discussion of differentials (dx and dy) and their use in approximating functions.
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A Tabular View of the Second D...
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As an instant. rate of change (Calculus) |
Java Applet |
Tool |
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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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Average Rate of Change and Der...
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As the lim. of the diff. quot. (Calculus) |
Java Applet |
Tool |
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[0]
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Investigate the tangent as a limit of secant lines, using several different functions.
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Average Velocity and Speed
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And average rate of change (Calculus)+ |
Java Applet |
Tool |
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[0]
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A Java applet that introduces the concepts of average and instantaneous velocity. Includes a re-scalable presentation version with large fonts.
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Derivative Function
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As an instant. rate of change (Calculus) |
Java Applet |
Tool |
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A Java applet that introduces the derivative as a function, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
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Derivative at a Point
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As an instant. rate of change (Calculus) |
Java Applet |
Tool |
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[1]
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A Java applet that introduces the derivative at a point. Includes a re-scalable presentation version with large fonts.
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Derivative of e^x
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As the lim. of the diff. quot. (Calculus) |
Java Applet |
Tool |
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[0]
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Use polar coordinates to visualize the derivative of e^x.
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Derivative of log x
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As the lim. of the diff. quot. (Calculus) |
Java Applet |
Tool |
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[0]
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Use polar coordinates to visualize the derivative of log x.
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Differentiability
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Differentiability & continuity (Calculus) |
Java Applet |
Tool |
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A Java applet that introduces the concept of differentiability, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
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