The [[Gradient]] of a [[Function]] $f$ (or [[Gradient]] [[Operation|Operator]]) denoted as $\nabla f$ is one that produces another function giving a [[Vector]] with all [[Partial Derivative|partial derivatives]] to $f$. $\huge \nabla \{f\} = \nabla f(x_{1},x_{2}, x_{3}, \cdots) = \mat{ \pderiv{f}{x_{1}} \\ \pderiv{f}{x_{2}} \\ \pderiv{f}{x_{3}} \\ \vdots } $