# Calculus Cheat Sheet

Published:

## Gradient

A vector field in the direction of steepest ascent.

$$
\nabla f( x_{1}, x_{2}, \dots x_{i}) = \begin{bmatrix}
\frac{\partial f}{\partial x_{1}} \\
\frac{\partial f}{\partial x_{2}} \\

\vdots \\

\frac{\partial f}{\partial x_{i}}
\end{bmatrix}
$$