$\text { Find the derivative of the algebraic function } f ( x ) = \left( x ^ { 6 } + 4 \right) ^ { 5 } \text {. }$

Multiple Choice

$\text { Find the derivative of the algebraic function } f ( x ) = \left( x ^ { 6 } + 4 \right) ^ { 5 } \text {. }$

A) $f ^ {t} ( x ) = 5 x ^ { 5 } \left( x ^ { 6 } + 4 \right) ^ { 4 }$
B) $f ^ {t } ( x ) = 6 x ^ { 5 } \left( x ^ { 6 } + 4 \right) ^ { 4 }$
C) $f ^ { t} ( x ) = 30 x ^ { 5 } \left( x ^ { 6 } + 4 \right) ^ { 4 }$
D) $f ^ { t } ( x ) = 30 x ^ { 7 } \left( x ^ { 6 } + 4 \right) ^ { 4 }$
E) $f ^ { t } ( x ) = 30 x ^ { 6 } \left( x ^ { 6 } + 4 \right) ^ { 4 }$