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Second Derivative Plot

Second Derivative Plot
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2018-11-12 16:08
CalculusDerivativeGraphing
This example demonstrates how to plot the second derivative of a function. It involves core mathematical concepts such as derivatives, function graphs, and the geometric significance of second derivatives. Key GeoGebra commands/objects used include Segment, Point, If, Line, Slope, Textfield. Suitable for high school and above students studying calculus.

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. Segment(D - (0.7 * (1, m2)), D + (0.7 * (1, m2))) → Tan2Seg