Browsing: All Content in Calculus for Concept of the Derivative Browse discussions |
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Resource Name |
Topic (Course) |
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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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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Graphing Calculator (formerly ...
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Graphical & numerical (Calculus) |
Computer |
Tool |
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[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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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
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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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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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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 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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[0]
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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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[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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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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Derivate
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Concept of the Derivative (Calculus) |
Java Applet |
Tool |
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[0]
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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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Derivate
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Concept of the Derivative (Calculus) |
Java Applet |
Tool |
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[0]
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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.
More: lessons, discussions, ratings, reviews,...
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Derivative Function
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As an instant. rate of change (Calculus) |
Java Applet |
Tool |
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[0]
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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.
More: lessons, discussions, ratings, reviews,...
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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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Differentiating Powers of x (p...
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Concept of the Derivative (Calculus)+ |
Java Applet |
Tool |
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This applet investigates differential calculus of powers of x (polynomials). You can plot the primary function ( ƒ(x) ), its first derivative (differential, the gradient function) ( ƒ'(x) ) and its se...
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Function, Derivative and Integ...
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Graphical & numerical (Calculus) |
Java Applet |
Tool |
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An interactive demonstration of the relationship between a function, its derivative, and its integral. The function is not defined by a formula but by an interactive graph.
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Functions with absolute value ...
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Differentiability & continuity (Calculus) |
Java Applet |
Tool |
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[0]
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A quiz: determine whether functions based on the absolute value function are differentiable.
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Instantaneous Velocity
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As an instant. rate of change (Calculus) |
Java Applet |
Tool |
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A Java applet that introduces the concepts of instantaneous velocity. Includes a re-scalable presentation version with large fonts.
More: lessons, discussions, ratings, reviews,...
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Making a Function Continuous a...
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Differentiability & continuity (Calculus) |
Java Applet |
Tool |
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A Java applet that illustrates how to make a piecewise function continuous and differentiable, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
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