Math 2.0

Real functions Functions of several real variables Concept

Partial derivative

Builds on Function of several variables

Summary

A partial derivative of a function of several variables is its derivative with respect to one variable, while all other variables stay fixed. It measures the rate of change of the function along one coordinate axis. For f(x,y)=x2yf(x, y) = x^2 y, the partial derivatives are ∂f/∂x=2xy\partial f / \partial x = 2xy and ∂f/∂y=x2\partial f / \partial y = x^2.

Reading path

To understand this page from the ground up, read these 4 pages in order. The foundations come first.

Show the path as a graph
Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptFunction of several variables, concept, no evidence levelFunction of several v…conceptPartial derivative, concept, no evidence levelPartial derivativeconcept
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. Function of several variables concept
  4. Partial derivative concept

Where this leads

389 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Partial_derivative, lead section
About this page
Tag09EGC6F8PT
URIm2://09EGC6F8PT
Aliasespartial-derivatives
Kindconcept
WritingW1 stated
MSC26B05
SpecializesDirectional derivative
UsesFunction of several variables
Same as

Markdown · JSON · Edit on GitHub

What this page needs for W2

  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (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

Special cases