Find the Indicated Derivative $f_{z} f(x, y, z)=6 x^{8} e^{\left(5 y^{9}+3 z^{4}\right)}$

Multiple Choice

Find the indicated derivative.
-Find $f_{z} f(x, y, z) =6 x^{8} e^{\left(5 y^{9}+3 z^{4}\right) }$

A) $12 z^{3} e^{\left(5 y^{9}+3 z^{4}\right) }$
B) $12 z^{3} e^{3 z^{4}}$
C) $72 x^{8} z^{3} e^{12 z^{3}}$
D) $72 x^{8} z^{3} e^{\left(5 y^{9}+3 z^{4}\right) }$