RE: fire5 Feb 2019 21:14
another system
our input: calculate $$$div\left(\sin{\left (x y \right )}, \cos{\left (x y \right )}, e^{z}\right)$$$.
By definition, $$$div\left(\sin{\left (x y \right )}, \cos{\left (x y \right )}, e^{z}\right)=\nabla\cdot\left(\sin{\left (x y \right )}, \cos{\left (x y \right )}, e^{z}\right)$$$.
Thus, $$$div\left(\sin{\left (x y \right )}, \cos{\left (x y \right )}, e^{z}\right)=\frac{\partial}{\partial{x}}\left(\sin{\left (x y \right )}\right)+\frac{\partial}{\partial{y}}\left(\cos{\left (x y \right )}\right)+\frac{\partial}{\partial{z}}\left(e^{z}\right)$$$.