Answer
$f_{x}(x,y,z)=4x^{3}$;
$f_{y}(x,y,z)=2z^{2}$;
$f_{z}(x,y,z)=4yz+4z^{3}$;
$f_{yz}(x,y,z)=4z$.
Work Step by Step
$f_{x}(x,y,z)=4x^{3}$
$f_{y}(x,y,z)=2z^{2}$
$f_{z}(x,y,z)=4yz+4z^{3}$
Differentiate $f_{y}(x,y,z)$ with respect to z to get $f_{yz}(x,y,z)$
$f_{yz}(x,y,z)=4z$
