How to compute the derivative of a product of matrices and vectors with respect to the vector?

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Suppose $A$ is a $j\times k$ matrix and $x\in\mathbb{R}^k$. How would I compute the derivative of $Axx^{\top}A^{\top}$ with respect to $x$?

Please provide as much justification as possible, as I am trying to teach myself derivatives in higher dimension.

Thank you.