Browsing: All Content in Calculus for As the lim. of the diff. quot. Browse discussions |
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Derivative Definition Exercise
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As the lim. of the diff. quot. (Calculus) |
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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 |
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Detailed directions for producing the Geometer's Sketchpad construction used to create the Derivative Definitions applet.
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Principles of Calculus Modelin...
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As the lim. of the diff. quot. (Calculus) |
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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 |
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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 |
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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 |
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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 |
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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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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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Investigate the tangent as a limit of secant lines, using several different functions.
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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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Use polar coordinates to visualize the derivative of log x.
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The Derivative
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As the lim. of the diff. quot. (Calculus) |
Java Applet |
Tool |
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[0]
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Plots different quotients of a cubic function for varying h.
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The Derivative of the Sine
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As the lim. of the diff. quot. (Calculus) |
Java Applet |
Tool |
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Investigate the changes in sin (x+h) - sin (x) as the angle varies.
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Tangent Lines
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As the lim. of the diff. quot. (Calculus) |
JavaScript |
Tool |
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Use tables of values to estimate the limit of the difference quotient for a given function. (Function names must be entered using Javascript notation.)
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Tangent Lines
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As the lim. of the diff. quot. (Calculus) |
JavaScript |
Tool |
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Use a table to numerically estimate the slope of the tangent line to f(x) = a^x at x=0.
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From Secant Lines to Tangent L...
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As the lim. of the diff. quot. (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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