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Calculus Cheat Sheet

Gradient

A vector field in the direction of steepest ascent.

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


Tags: calculus