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Exploration of Derivative

Exploration of Derivative
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2013-09-22 15:21
FunctionCalculusDerivative
This worksheet demonstrates the definition of derivative, first derivative test, and second derivative test. Using GeoGebra commands such as Point, Derivative, Textfield, etc., it provides a visual understanding of the concept of derivative and its application in function analysis. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(f) → P
  2. Derivative(f) → g
  3. Derivative(g) → h
  4. Textfield(f) → inputBox1
  5. Point(f) → Q
  6. Line(Q, P) → j
  7. OrthogonalLine(Q, xAxis) → k
  8. OrthogonalLine(P, yAxis) → l
  9. Intersect(k, l) → A
  10. Polygon(Q, A, P) → poly1, p, q, a_1