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Introduction to Derivative

Introduction to Derivative
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2017-01-18 05:11
FunctionCalculusDerivative
This example illustrates the concept of a derivative. It shows how the derivative of a function at a point is represented geometrically, involving core mathematical concepts such as derivatives, calculus, and function graphs. It uses commands like Polygon, Line, Segment, Vector, Point, Midpoint, and Tangent in GeoGebra, suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(A', B', C, D) → poly1, a, b, c, d
  2. Line(D, C) → g
  3. Segment(A', H) → h
  4. Vector(E, F_1) → u
  5. Vector(F_1, E) → v
  6. Segment(H, B) → s
  7. Point(p) → M
  8. Line(M, A) → i
  9. Segment(M, K) → j
  10. Segment(K, A) → k
  11. Midpoint(M, A) → F
  12. Tangent(M, p) → n
  13. Polygon(I, J, L, N) → poly2, i_1, j_1, l, n_1
  14. Point(xAxis) → R
  15. Point(yAxis) → S