I need to simpify the following:
$\begin{equation*} \varepsilon_{ijk}\dfrac{\partial^2 \phi}{\partial x_i \partial x_j} \end{equation*}$
For the Levi-Civita symbol $\varepsilon$. I tried expanding and grouping terms and I got something that looked like an alternating sum of Hessian matrix terms or something. This is my first exposure to this notation so I'm a bit confused to say the least. I'm supposed to get a simpler expression but I got an expression with six terms. Any and all help is appreciated.