MathPlotAI Logo MathPlotAI

Inverse Differentiation and Derivative Calculation

Inverse Differentiation and Derivative Calculation
Loading the math board and drawing, please wait…
2015-12-26 10:34
FunctionCalculusDerivativeIntegralProbability & Statistics
This example demonstrates how to calculate the derivative of a function through inverse differentiation. Key math concepts include integral calculus, means, statistics, coordinates, exponential functions, and stochastic or random processes. It utilizes GeoGebra commands like Integral, Textfield, Line, Vector, Stretch, Shear, Sequence, AffineRatio, and ConvexHull for construction. Suitable for high school and above, focusing on understanding the relationship between integrals and derivatives, and function graphing techniques.

GeoGebra Commands & Parameters

  1. Integral(f) → F
  2. Textfield(f) → Εισ1
  3. Line(G, B) → a
  4. Line(D, H) → b
  5. Line(C, E) → c
  6. Line(A, E) → d
  7. Line(G, C) → e
  8. Vector(z, z_1) → u
  9. Vector(w, z_1) → v
  10. Stretch(f, v) → f_1
  11. Stretch(f, u) → f_2
  12. Stretch(F, v) → F_1
  13. Stretch(F, v) → F_2
  14. Shear(f, a, 0.6666666666666666) → f_3
  15. Shear(F, c, 1.5) → F_3
  16. Shear(f, b, 0.8333333333333334) → f_4
  17. Sequence(log(k^(4) + 1), k, 1, 90) → λίστα1
  18. Sequence(F(k), k, 1, 90) → λίστα2
  19. Sequence(f(k^(2)), k, 1, 90) → λίστα3
  20. AffineRatio(A, B, C) → g
  21. ConvexHull({C, D, E, G}) → γτ1