Find the Point(s) on the Curve Where the Tangent Is $x = t ^ { 3 } - 3 t + 4 , \quad y = t ^ { 3 } - 3 t ^ { 2 } + 4$

Find the point(s) on the curve where the tangent is horizontal. $x = t ^ { 3 } - 3 t + 4 , \quad y = t ^ { 3 } - 3 t ^ { 2 } + 4$

A) $( 4,4 ) , ( 6,0 )$
B) $( 0,0 ) , ( 4 , - 4 )$
C) $( - 1,1 ) , ( - 4 , - 4 )$
D) $( 4 , - 4 )$
E) None of these

Correct Answer:

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