Given:

z=x3+xy4,x=uv3+w4,y=u+vew\displaystyle {z}={x}^{{3}}+{x}{y}^{{4}},\quad{x}={u}{v}^{{3}}+{w}^{{4}},\quad{y}={u}+{v}{e}^{{w}}

Find zu\displaystyle \frac{{\partial{z}}}{{\partial{u}}} when u=1, v=1, w=0\displaystyle {u}={1},\ {v}=-{1},\ {w}={0}