(Solved) Find (∂ r)/(∂ x), (∂ r)/(∂ y), and (∂ r)/(partial z) for r=uv-\mathrmu^2-\mathrmv^2-\mathrmw^2 ; u=2 x+z, v=x-y,
Question: Find \(\frac{\partial r}{\partial x}, \frac{\partial r}{\partial y}\), and \(\frac{\partial r}{\partial z}\) for \(\mathrm{r}=\mathrm{uv}-\mathrm{u}^{2}-\mathrm{v}^{2}-\mathrm{w}^{2} ; \quad \mathrm{u}=2 \mathrm{x}+\mathrm{z}, \quad \mathrm{v}=\mathrm{x}-\mathrm{y}\),
\(\mathrm{w}=\mathrm{y}+\mathrm{z}\)
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