Question

calculate the partial derivation of:
f(x,y,z) = z sin (x-y)

Answer 1

There are 3 partial derivatives
\[f _{x}(x,y,z)=zcos(x-y)\]
\[f _{y}(x,y,z)=-zcos(x-y)\]
\[f _{z}(x,y,z)=sin(x-y)\]