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Tracing the Derivative Function

Tracing the Derivative Function
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2020-02-08 17:34
FunctionCalculusDerivative
This GeoGebra applet demonstrates the derivative of a function at a specific point and the derivative function itself. It involves the concept of derivatives in calculus, using GeoGebra commands such as Textfield, Point, Tangent, Slope, etc. Suitable for high school mathematics education and learning about the concept of derivatives.

GeoGebra Commands & Parameters

  1. Textfield(f) → InputBox1
  2. Point(f) → A
  3. Tangent(A, f) → g
  4. Slope(g) → m
  5. OrthogonalLine(M, xAxis) → h
  6. Intersect(h, xAxis) → C
  7. Segment(M, C) → i
  8. Midpoint(M, C) → B

AI Drawing Prompt Reference

Draw a function graph, show its tangent at a specific point, the intersection of the tangent with the x-axis, and the line perpendicular to the tangent through that point. Mark the intersection of this perpendicular line with the x-axis, draw a line segment connecting these two points, and find the midpoint of this segment.
The prompt above was compiled from the original drawing commands and is for reference only.