Browsing: All Content in Calculus for Derivative as a Function Browse discussions |
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Resource Name |
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Technology |
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Principles of Calculus Modelin...
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Mean Value Theorem (Calculus) |
Computer |
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Exercises on the Mean Value Theorem (PDF).
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The Mean Value Theorem: Quiz
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Mean Value Theorem (Calculus) |
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Quiz (with answers) on the Mean Value Theorem.
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Graphing f '(x): Increasing, D...
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Graph of f vs. f' (Calculus)+ |
Sketchpad |
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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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Graph of f vs. f' (Calculus)+ |
Sketchpad |
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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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The Area Function
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Graph of f vs. f' (Calculus) |
TI-Nspire |
Activity |
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In this activity, students will look at the graph of a function g(x), defined to be the integral of a function f(x), with the goal of understanding Part 1 of the Fundamental Theorem of Calculus. Speci...
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Maxima and Minima
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Meaning of critical points (Calculus) |
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Support Material |
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Discussion of methods for finding the maxima and minima of differentiable functions.
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Graphing Calculator (formerly ...
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Derivative as a Function (Calculus) |
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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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The Mean Value Theorem
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Mean Value Theorem (Calculus) |
Computer |
Tool |
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RealMedia movies of worked problems on the Mean Value Theorem.
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Maxima and Minima
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Meaning of critical points (Calculus) |
Flash |
Tool |
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Animated discussion of the derivative of a function at a local maximum or minimum.
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Mean Value Theorem
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Mean Value Theorem (Calculus) |
Flash |
Tool |
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Uses the Mean Value Theorem to prove that a function with strictly positive derivative on an interval is increasing on that interval.
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Mean Value Theorem
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Mean Value Theorem (Calculus) |
Flash |
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Proof of Rolle's Theorem.
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Mean Value Theorem
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Mean Value Theorem (Calculus) |
Flash |
Tool |
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Proof of the Mean Value Theorem.
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A Tabular View of the Second D...
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Meaning of the sign of f' (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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Critical Points
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Graph of f vs. f' (Calculus) |
Java Applet |
Tool |
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Compare the graphs of a function and its derivative.
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Cubic Derivative
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Graph of f vs. f' (Calculus) |
Java Applet |
Tool |
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View the graphs of a cubic function and its derivative.
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Derivative Function
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Derivative as a Function (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 Function Java Apple...
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Graph of f vs. f' (Calculus) |
Java Applet |
Tool |
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Graph selected functions, their tangent at a particular point, and their derivatives.
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Derivative of Exponential Func...
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Graph of f vs. f' (Calculus) |
Java Applet |
Tool |
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Graph the derivatives of e^x and log x.
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Derivative of Trigonometric Fu...
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Graph of f vs. f' (Calculus) |
Java Applet |
Tool |
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Graph the derivative of the sine and cosine functions.
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Derivative of y=x^2
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Graph of f vs. f' (Calculus) |
Java Applet |
Tool |
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Graph the derivative of certain polynomial functions.
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Derivative puzzle 1
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Graph of f vs. f' (Calculus) |
Java Applet |
Tool |
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[1]
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Match graphs of polynomial functions with the graphs of their derivatives. Also includes exercises, solutions, and didactic background.
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Derivative puzzle 2
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Graph of f vs. f' (Calculus) |
Java Applet |
Tool |
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[1]
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Match graphs of logarithmic and hyperbolic functions with the graphs of their derivatives. Also includes exercises, solutions, and didactic background.
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Derivative puzzle 3
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Graph of f vs. f' (Calculus) |
Java Applet |
Tool |
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Match graphs of sinusoidal functions with the graphs of their derivatives. Also includes exercises, solutions, and didactic background.
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Derivatives of Cubic Functions
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Graph of f vs. f' (Calculus) |
Java Applet |
Tool |
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Explore the relationship between a cubic function and its derivative.
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Differentiability
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Meaning of the sign of f' (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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