Tangent Plane to a Surface

Tangent Plane to a Surface
Loading the math board and drawing, please wait…
2019-01-01 00:54
This example demonstrates how to draw the tangent plane to a surface at a specific point in 3D space. It involves core mathematical concepts such as surface, tangent plane, derivative, and vector. The construction utilizes GeoGebra commands and objects like PointIn, Derivative, Line, OrthogonalPlane, and Vector as outlined in the summary. Suitable for high school and above students studying calculus and solid geometry.

GeoGebra Commands & Parameters

  1. PointIn(f) → P
  2. Derivative(f, x) → f_x
  3. Derivative(f, y) → f_y
  4. Line(P, g) → L
  5. OrthogonalPlane(P, L) → a
  6. Line(P, Vector[(1, 0, Δx)]) → h
  7. Line(P, Vector[(0, 1, Δy)]) → i
  8. Vector(P, P + g) → u