Find the Derivative of the Following Function Using the Limiting $$f ( x ) = 3 x ^ { 3 } - 9 x ^ { 2 } - 8$$

Multiple Choice

Find the derivative of the following function using the limiting process. $$f ( x ) = 3 x ^ { 3 } - 9 x ^ { 2 } - 8$$

A) $f ^ { t } ( x ) = 9 x ^ { 2 } + 18 x$
B) $f ^ { t } ( x ) = 6 x ^ { 2 } - 18 x$
C) $f ^ { t } ( x ) = 9 x ^ { 2 } - 18 x - 8$
D) $f ^ {t } ( x ) = 6 x ^ { 2 } + 18 x$
E) $f ^ { t } ( x ) = 9 x ^ { 2 } - 18 x$