# Partial derivative

> A derivative in which all but one of the variables is considered a constant. For example, the partial derivative of $f(x, y)$ with respect to $x$ is the derivative of $f$ considered as a function of $x$ alone (that is, keeping $y$ constant). The partial derivative of $f$ with respect to $x$ focuses only on how $x$ is changing and ignores all other variables in the equation.[^1]

A derivative in which all but one of the variables is considered a constant. For example, the partial derivative of $f(x, y)$ with respect to $x$ is the derivative of $f$ considered as a function of $x$ alone (that is, keeping $y$ constant). The partial derivative of $f$ with respect to $x$ focuses only on how $x$ is changing and ignores all other variables in the equation.[^1]

## Footnotes

[^1]: https://developers.google.com/machine-learning/glossary#partial-derivative