Use the Derivative Of $f ( x ) = 2 x ^ { 3 } + 3 x ^ { 2 }$

question 192

Multiple Choice

Use the derivative of $f ( x ) = 2 x ^ { 3 } + 3 x ^ { 2 }$ to determine any points on the graph of $f ( x )$ at which the tangent line is horizontal.

• A) \(( 1,5 )\) and \(( - 1,1 )\)
• B) \(( - 1 , - 8 )\)
• C) \(( 0,0 )\) and \(( - 1,1 )\)
• D) \(( 2,0 )\)
• E) \(f ( x )\) has no points with a horizontal tangent line.

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