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

question 142

Multiple Choice

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

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

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