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

question 154

Multiple Choice

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

• A) \(( 0 , - 0 )\)
• B) \(( 0,0 ) , ( 2 , - 2 )\)
• C) \(( - 1,1 ) , ( - 2 , - 2 )\)
• D) \(( 0,0 ) , ( 4 , - 2 )\)
• E) None of these