Definitions for Partial Derivative
par·tial de·riv·a·tive

Princeton's WordNetRate this definition:0.0 / 0 votes

1. partial derivative, partialnoun

   the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant

WiktionaryRate this definition:0.0 / 0 votes

1. partial derivativenoun

   a derivative with respect to one variable of a function of several variables

WikipediaRate this definition:0.0 / 0 votes

1. Partial derivative

   In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry. The partial derivative of a function f ( x , y , … ) {\displaystyle f(x,y,\dots )} with respect to the variable x {\displaystyle x} is variously denoted by It can be thought of as the rate of change of the function in the x {\displaystyle x} -direction. Sometimes, for z = f ( x , y , … ) {\displaystyle z=f(x,y,\ldots )} , the partial derivative of z {\displaystyle z} with respect to x {\displaystyle x} is denoted as ∂ z ∂ x . {\displaystyle {\tfrac {\partial z}{\partial x}}.} Since a partial derivative generally has the same arguments as the original function, its functional dependence is sometimes explicitly signified by the notation, such as in:

ChatGPTRate this definition:0.0 / 0 votes

1. partial derivative

   A partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant. It measures the rate at which the function changes with respect to that variable. The symbol for partial derivatives is ∂. For example, if a function f depends on variables x, y, and z, then the partial derivative of f with respect to x is denoted as ∂f/∂x.

WikidataRate this definition:0.0 / 0 votes

1. Partial derivative

   In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant. Partial derivatives are used in vector calculus and differential geometry. The partial derivative of a function f with respect to the variable x is variously denoted by The partial-derivative symbol is ∂. One of the first known uses of the symbol in mathematics is by Marquis de Condorcet from 1770, who used it for partial differences. The modern partial derivative notation is by Adrien-Marie Legendre, though he later abandoned it; Carl Gustav Jacob Jacobi re-introduced the symbol in 1841.

Matched Categories

1. • Derived Function

How to pronounce Partial Derivative?

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How to say Partial Derivative in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of Partial Derivative in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of Partial Derivative in Pythagorean Numerology is: 3

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=Partial Derivative
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Partial_Derivative
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Partial_Derivative
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=Partial Derivative