QUESTION
For the functions $w=x y+y z+x z, x=2 u+3 v, y=2 u-3 v$, and $z=u v$, express $\frac{\partial w}{\partial u}$ and $\frac{\partial w}{\partial v}$ using the chain rule and by expressing $w$ directly in terms of $u$ and $v$ before differentiating. Then evaluate $\frac{\partial w}{\partial u}$ and $\frac{\partial w}{\partial v}$ at the point $(u, v)=\left(-\frac{2}{3}, 3\right)$. Express $\frac{\partial w}{\partial \mathrm{u}}$ and $\frac{\partial w}{\partial \mathrm{v}}$ as functions of $u$ and $v$ \[ \frac{\partial w}{\partial u}= \]
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