I'm wondering if there are any convenient symbolic "shortcuts" (i.e. abuse of notation) that enable one to compute the gradient with respect to a certain vector, without decomposing the computation into the vector's individual elements and differentiating with respect to each element. For example:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\nabla_x \left( \frac{1}{|{\bf x}^{'} - {\bf x}|} \right) = \frac{{\bf x}^{'} - {\bf x}}{|{\bf x}^{'} - {\bf x}|^3}

[/tex]

Besides the obvious method of evaluating [tex]\frac{\partial}{\partial x_1}[/tex] and so on, is there a faster method of symbolic computation?

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# Symbolic computation of gradient

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