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Diffstat (limited to 'mindmap/partial derivative.org')
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diff --git a/mindmap/partial derivative.org b/mindmap/partial derivative.org new file mode 100644 index 0000000..ac1c5d2 --- /dev/null +++ b/mindmap/partial derivative.org @@ -0,0 +1,14 @@ +:PROPERTIES: +:ID: 3993a45d-699b-4512-93f9-ba61f498f77f +:END: +#+title: partial derivative +#+author: Preston Pan +#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" /> +#+html_head: <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script> +#+html_head: <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> +#+options: broken-links:t + +* Definition +The operator \(\frac{\partial}{\partial x_{n}}\) takes the [[id:31d3944a-cddc-496c-89a3-67a56e821de3][derivative]] of a function \(f(\vec{x})\) with respect to \(x_{n}\) in +the direction of the \(x_{n}\) axis. In other words, we take the derivative \(f(\vec{x})\) as if all variables +except \(x_{n}\) is constant. |