$$ \begin{align} D\vec F &= \left[ \begin{array}{ccc} \frac{\partial}{\partial x} 3xy & \frac{\partial}{\partial y} 3xy & \frac{\partial}{\partial z} 3xy \\ \frac{\partial}{\partial x} 2x+y+5z & \frac{\partial}{\partial y} 2x+y+5z & \frac{\partial}{\partial z} 2x+y+5z \\ \frac{\partial}{\partial x} yz^2 & \frac{\partial}{\partial y} yz^2 & \frac{\partial}{\partial z} yz^2 \\ \end{array} \right] \end{align} $$


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