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Also known as ∂, partial differentiation
derivative of a function of several variables with respect to one variable, with the others held constant
A partial derivative measures how a function changes when you adjust just one of its input variables while keeping all the others fixed. It matters because many real-world situations depend on multiple factors at once, and partial derivatives help us understand how changing one factor alone affects the outcome.
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Wikidata facts
- Subclass of
- derivative
- Image
- Partial func eg.svg
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- studied by
- multivariable calculus
- notation
- partial derivative symbol
- different from
- boundary
- Stack Exchange tag
- math.stackexchange.com/tags/partial-derivative
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
- maintained by WikiProject
- WikiProject Mathematics
Sources (3)
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Article · 中文
在数学中，偏导数（英語：partial derivative）的定義是：一個多變量的函数（或稱多元函數），對其中一個變量（導數）微分，而保持其他变量恒定。 偏导数的作用与价值在向量分析和微分几何以及机器学习领域中受到广泛认可。 函数关于变量的偏导数写为或。偏导数符号是全导数符号的变体，由阿德里安-马里·勒让德引入，并在雅可比的重新引入后得到普遍接受。
Abstract from DBpedia / Wikipedia · CC BY-SA