(Solved): Consider the following. \[ z=x^{4}+x^{2} y, \quad x=s+2 t-u, \quad y=s t u^{2} \] Find the followi ...

Consider the following. \[ z=x^{4}+x^{2} y, \quad x=s+2 t-u, \quad y=s t u^{2} \] Find the following partial derivatives. \[ \begin{array}{l} \frac{\partial z}{\partial s}= \\ \frac{\partial z}{\partial t}= \\ \frac{\partial z}{\partial u}= \end{array} \] Find \( \frac{\partial z}{\partial s}, \frac{\partial z}{\partial t}, \frac{\partial z}{\partial u} \) when \( s=3, t=4, u=2 \). \[ \begin{array}{l} \frac{\partial z}{\partial s}= \\ \frac{\partial z}{\partial t}= \\ \frac{\partial z}{\partial u}= \end{array} \]