Use the Function Below and Its Derivative to Determine Any $f$

question 79

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.
$$f ( x ) = - 2 x ^ { 4 } + 4 x ^ { 2 } , f ^ { \prime } ( x ) = - 8 x ^ { 3 } + 8 x$$

• A) \(( - 1,2 ) , ( 0,0 ) , ( 1,2 )\)
• B) \(( - 1 , - 2 ) , ( 1 , - 8 )\)
• C) \(( - 1,2 ) , ( 1,2 )\)
• D) \(( 0,0 ) , ( 1,0 )\)
• E) \(( 0,0 ) , ( 1,2 )\)

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