We need to find the partial derivative with respect to $z$, denoted as $f_z(x, y, z)$.
To find $f_z(x, y, z)$, we treat $x$ and $y$ as constants and differentiate $f(x, y, z)$ with respect to $z$.
The function is of the form $a^u$, where $a = x$ (a constant with
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