Use the Derivative Of $f ( x ) = 3 x ^ { 4 } + 4 x ^ { 3 }$

question 133

Multiple Choice

Use the derivative of $f ( x ) = 3 x ^ { 4 } + 4 x ^ { 3 }$ to determine any points on the graph of $f ( x )$ at which the tangent line is horizontal.

• A) \(( 1,7 )\) and \(( - 1 , - 1 )\)
• B) \(( - 1 , - 12 )\)
• C) \(f ( x )\) has no points with a horizontal tangent line.
• D) \(( 0,0 )\) and \(( - 1 , - 1 )\)
• E) \(( 3,0 )\)

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