I'm having some difficulty solving this problem. The information I have is the following:
$z:(y_1,y_2,y_3,\dotsc,y_n)$ and $y$ is also composed of a function $y:(x_1,x_2,x_3,\dotsc,x_n)$ given $\frac{\partial z}{\partial y_i}$ is known and $\frac{\partial^2 z}{\partial y_i \partial y_j}$ also given , find $\frac{\partial z}{\partial x_n}$.
Thanks in advance!