Use the Function Below and Its Derivative to Determine Any $f ( x ) = - 3 x ^ { 4 } + 6 x ^ { 2 } , f ^ { \prime } ( x ) = - 12 x ^ { 3 } + 12 x$

Multiple Choice

Use the function below and its derivative to determine any points on the graph of f at which the tangent line is horizontal. $f ( x ) = - 3 x ^ { 4 } + 6 x ^ { 2 } , f ^ { \prime } ( x ) = - 12 x ^ { 3 } + 12 x$

A) $( - 1,3 ) , ( 0,0 ) , ( 1,3 )$
B) $( - 1 , - 3 ) , ( 1 , - 12 )$
C) $( - 1,3 ) , ( 1,3 )$
D) $( 0,0 ) , ( 1,0 )$
E) $( 0,0 ) , ( 1,3 )$