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the following problem: $$ \max_{x\in\mathbb{r}^n} v(x) = x^\intercal p x, \qquad \text{s.t.}
views matrix calculus: derivative of the form $x^t a y + y^t a x$ consider the column vectors $\boldsymbol{x}(z),\boldsymbol{y}(z) \in \mathbb{r^n}$ and a matrix $\boldsymbol{a}(z) \in \mathbb{r}^{n \times n}$, which are all differentiable functions of $z \in \... matrices derivatives matrix-calculus...
https://math.stackexchange.com/questions/tagged/quadratic-forms