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Chain Rule Demonstration by Dr. Doug Davis, 3D

Chain Rule Demonstration by Dr. Doug Davis, 3D
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2016-03-18 23:43
FunctionCalculusDerivative
In collections Fun with Functions
This example illustrates the Chain Rule in calculus using linear functions. It constructs two linear functions f and g, and their composite function fg using GeoGebra commands such as Point, Vector, Textfield, and Polygon. By adjusting parameters, one can observe the application of the Chain Rule in differentiating composite functions. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Vector(A, C) → u
  3. Vector(C, B) → v
  4. Vector(B, D) → w
  5. Vector(D, E) → a
  6. Vector(E, F) → b
  7. Textfield(m_x) → mx_{in}
  8. Textfield(b_x) → bx_{in}
  9. Textfield(m_u) → mu_{in}
  10. Textfield(b_u) → bu_{in}
  11. Polygon(J, D, E, F, L, K) → poly2, j_1, d_1, e, f_1, l, k
  12. Polygon(A, G, H, I, B, C) → poly1, a_1, g_1, h_1, i, b_1, c
  13. Vector(A, M) → j
  14. Vector(M, F) → m
  15. Polygon(A, G, N, L, F, M) → poly3, a_2, g_2, n, l_1, f_2, m_1