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Derivatives of 2D Functions

Derivatives of 2D Functions
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2020-01-15 09:07
FunctionCalculusDerivative
This example demonstrates the derivatives of 2D functions. Key mathematical concepts include derivatives and functions. Using GeoGebra commands such as Derivative, PointIn, Vector, etc., the derivative graph of the function can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Derivative(a, y) → c
  2. Derivative(a, x) → b
  3. PointIn(a) → A
  4. Vector(A, C) → D_x
  5. Vector(A, D) → D_y
  6. Textfield(a) → InputBox1
  7. LaTeX(D_x, true, true) → text1
  8. LaTeX(D_y, true, true) → text2
  9. Vector(A, A + D_x + D_y) → grad
  10. LaTeX(grad, true, true) → text3
  11. Vector(A, B) → rateChange
  12. LaTeX(rateChange, true, true) → text4
  13. Circle(A, 1, zAxis) → d
  14. Point(d) → E
  15. Vector(A, E) → u
  16. Vector(A, A + u + (0, 0, (grad * u))) → v

AI Drawing Prompt Reference

Draw a 2D function with its derivative curve, label the function and derivative curves, take a point on the curve, draw tangent and normal vectors from the point, display vector components and the resultant vector, draw a circle centered at the point with radius 1, and construct a new vector from a point on the circle incorporating the tangent and normal vectors.
The prompt above was compiled from the original drawing commands and is for reference only.