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Derivative Curve

Derivative Curve
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2015-02-25 22:57
FunctionCalculusDerivative
This applet demonstrates the concept of a derivative by plotting the derivative curve at points along a function. It uses the Point, Derivative, and Tangent commands, suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Derivative(f) → f'
  3. Tangent(A, f) → b

AI Drawing Prompt Reference

Draw a function curve and mark several points on it. For these points, calculate the derivative to get the derivative curve, and draw tangent lines through these points that touch the original function, showing the relationship between the original function, its derivative, and the tangent lines to illustrate the concept of derivatives.
The prompt above was compiled from the original drawing commands and is for reference only.