Math 2.0

Real functions Concept

Tangent plane to a graph

Builds on Graph of a functionDifferentiable function of several variables

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.

Reading path

To understand this page from the ground up, read these 7 pages in order. The foundations come first.

Show the path as a graph
Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptGraph of a function, concept, no evidence levelGraph of a functionconceptTotal derivative, concept, no evidence levelTotal derivativeconceptFunction of several variables, concept, no evidence levelFunction of several v…conceptDifferentiable function of several variables, concept, no evidence levelDifferentiable functi…conceptTangent plane to a graph, concept, no evidence levelTangent plane to a gr…concept
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Graph of a function concept
  4. Total derivative concept
  5. Function of several variables concept
  6. Differentiable function of several variables concept
  7. Tangent plane to a graph concept

Where this leads

1 page builds on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Tangent_space, Informal description
  2. Web https://en.wikipedia.org/wiki/Linear_approximation, Definition
About this page
Tag035V802J58
URIm2://035V802J58
Aliasestangent-plane
Kindconcept
WritingW0 stub
MSC26B05
UsesGraph of a function, Differentiable function of several variables

Markdown · JSON · Edit on GitHub

What this page needs for W1

  • an inventory row: the row of the inventory that the node accounts for (0 of 1)

The writing levels say how complete the text of a page is. They do not measure its truth.

What links here

Used by

Definitions