Find the Slope of the Tangent Line to the Graph $g ( t ) = \frac { 8 } { t ^ { 3 } } , ( 1.5,57 )$

Multiple Choice

Find the slope of the tangent line to the graph of the given function at the indicated point. $g ( t ) = \frac { 8 } { t ^ { 3 } } , ( 1.5,57 )$

A) $g ^ { \prime } ( 1.5 ) = - 108$
B) $g ^ { \prime } ( 1.5 ) = - 36$
C) $g ^ { \prime } ( 1.5 ) = 54$
D) $g ^ { \prime } ( 1.5 ) = - 27$
E) $g ^ { \prime } ( 1.5 ) = - 54$