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Rate of Change of a Function

Rate of Change of a Function
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2016-09-21 11:40
FunctionCalculusDerivative
This example illustrates the instantaneous rate of change of a function. Key mathematical concepts include derivatives and tangents. By constructing the function graph, tangent, and secant, students can visually understand the geometric meaning of derivatives. GeoGebra commands used include Point, SelectedElement, Segment, and Textfield. Suitable for high school math education and learning calculus concepts.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. SelectedElement(flist) → f
  4. Segment(P, Q) → secseg
  5. Segment(A, (xa, ya)) → axseg
  6. Segment(B, (xb, yb)) → bxseg
  7. Segment((xa, ya), (0, ya)) → ayseg
  8. Segment((xb, yb), (0, yb)) → byseg
  9. Textfield(f) → inpF

AI Drawing Prompt Reference

Draw a function graph and mark two points on it. Make the tangent line at one point and the secant line through both points. Draw perpendicular lines from the tangent and secant points to the x-axis, and display the function expression.
The prompt above was compiled from the original drawing commands and is for reference only.