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

question 14

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) \( (0,0),(1,-3) \)

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