Browsing: All Content in Calculus for Local linearity  Browse discussions |
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Resource Name |
Topic (Course) |
Technology |
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Linear Approximations: Quiz
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Local linearity (Calculus) |
Computer |
Activity |
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A quiz (with answers) on derivatives as the best linear approximations to functions.
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Principles of Calculus Modelin...
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Local linearity (Calculus) |
Computer |
Activity |
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Exercises on derivatives as the best linear approximations to functions (PDF).
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Slopes and Derivatives
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Local linearity (Calculus) |
Sketchpad |
Activity |
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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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Tangent Lines
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Local linearity (Calculus) |
Computer |
Tool |
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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.
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Linear Approximations
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Local linearity (Calculus) |
Computer |
Tool |
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RealMedia movies on derivatives as the best linear approximations to functions.
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Tangent Lines
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Local linearity (Calculus) |
Flash |
Tool |
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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.
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Zoom
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Local linearity (Calculus) |
Java Applet |
Tool |
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Zoom in on various functions, some differentiable and some not.
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Derivatives of Trigonometric F...
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Local linearity (Calculus) |
Java Applet |
Tool |
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Zoom in on graphs of the sine and cosine functions.
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Linear Approximations
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Local linearity (Calculus) |
Java Applet |
Tool |
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Zoom in on a given function, or compare the function with a linear approximation at the origin.
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Linear Approximations
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Local linearity (Calculus) |
Java Applet |
Tool |
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Investigate the error of various linear approximations to a function.
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Error Function
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Local linearity (Calculus) |
Java Applet |
Tool |
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Investigate the error function for different curves and different approximations to those curves.
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Linear Approximations
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Local linearity (Calculus) |
Java Applet |
Tool |
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A Java applet that illustrates the use of the derivative in finding a linear approximation to a function, with questions to answer using the applet. Includes a re-scalable presentation version with la...
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Derivate
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Local linearity (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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Linear Approximations
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Local linearity (Calculus) |
JavaScript |
Tool |
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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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