Gradient

The gradient is a vector-valued function with the partial derivatives of a function as its components. It is a generalization of the single-variable case of a singular derivative into a function that can describe the slope of a function with any number of variables.

$$\nabla f = \begin{pmatrix}\frac{\partial f}{\partial x}\\\frac{\partial f}{\partial y}\\\frac{\partial f}{\partial z}\\...\\\end{pmatrix}$$