MathPlotAI Logo MathPlotAI

Definition of a Derivative by Krzysztof Sikora

Definition of a Derivative by Krzysztof Sikora
Loading the math board and drawing, please wait…
2015-08-21 07:11
VectorFunctionCoordinate GeometryCalculusDerivative
This example demonstrates the derivative of a function at a point, which is the slope of the tangent line. Core math concepts include derivatives, tangent lines, linear equations, and the concept of limits. GeoGebra commands and objects used in construction are Tangent, Line, Segment, OrthogonalLine, Point, Vector, Circle, Intersect, Textfield, and Derivative. Suitable for high school and above students learning calculus concepts.

GeoGebra Commands & Parameters

  1. Tangent(A, f) → p
  2. Line(A, B) → t
  3. Segment(B, C) → c
  4. OrthogonalLine(B, c) → e
  5. Point(Circle[B, abs(d)]) → D
  6. Segment(B, D) → i
  7. Point(Circle[C, abs(d)]) → E
  8. Segment(C, E) → j
  9. Vector(D, E) → u
  10. Vector(E, D) → v
  11. Segment(A, C) → k
  12. OrthogonalLine(A, k) → l
  13. OrthogonalLine(C, k) → n
  14. Circle(A, d) → p_1
  15. Circle(C, d) → q
  16. Intersect(p_1, l, 1) → F
  17. Intersect(q, n, 1) → G
  18. Vector(F, G) → w
  19. Vector(G, F) → n_1
  20. Segment(A, F) → r
  21. Segment(C, G) → s
  22. Textfield(a) → inputBox2
  23. Textfield(b) → inputBox3
  24. Textfield(g) → inputBox1
  25. Textfield(fx) → inputBox4
  26. Derivative(f, x) → f_1