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Derivative Plot

Derivative Plot
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2017-10-06 22:25
FunctionCalculusDerivative
This example demonstrates how to plot the derivative of a function, involving core math concepts like derivatives, polynomial functions, linear programming or optimization, hypothesis testing, and surfaces. It utilizes GeoGebra commands such as Segment, Point, If, Line, Slope, and Textfield for construction. Suitable for high school students and educators for teaching and exploring derivative-related ideas.

GeoGebra Commands & Parameters

  1. Segment((xmn, 0), (xmx, 0)) → a
  2. Point(a) → A
  3. Segment(T - (0.7 * (1, m)), T + (0.7 * (1, m))) → TanSeg
  4. If(togA ≟ 1, "Stop animation", "Animate A") → Animate
  5. Segment(A, D) → AD
  6. Line(T, T + (1, m)) → TanLine
  7. Slope(TanSeg) → m_1
  8. Textfield(f) → InputfOFx
  9. Textfield(speed) → InputSpd
  10. If(togT ≟ 0, "Show Traces", "Stop Traces") → ShowTraces
  11. Textfield(g) → InputBox1

AI Drawing Prompt Reference

Draw a horizontal line as the x-axis and mark a point on it. Then plot the graph of a function and its derivative. Select a point on the function graph to draw the tangent line at that point, showing the slope of the tangent. Provide input fields for the function expression and animation speed, and a switch to control whether to show the traces.
The prompt above was compiled from the original drawing commands and is for reference only.