Find the Slope of the Tangent Line to the Graph $f ( x ) = 4 x ^ { 3 }$

Multiple Choice

Find the slope of the tangent line to the graph of the given function $f ( x ) = 4 x ^ { 3 }$ at the point $( 2,32 )$ .

A) $f ^ { \prime } ( 2 ) = 96$
B) $f ^ { \prime } ( 2 ) = 0$
C) $f ^ { \prime } ( 2 ) = 24$
D) $f ^ { \prime } ( 2 ) = 48$
E) $f ^ { \prime } ( 2 ) = 16$