Math 2.0

concept

Tangent plane to a graph

Summary

Take the graph of a differentiable function of two variables. Its tangent plane at a point is the plane through that point that best approximates the graph nearby. It is the graph of the linear approximation of the function at the point.

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Sources

  1. Web https://en.wikipedia.org/wiki/Tangent_space, Informal description
  2. Web https://en.wikipedia.org/wiki/Linear_approximation, Definition