Use the Second Derivative Test to Find the Relative Extrema $f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 36 x - 5$

question 117

Multiple Choice

Use the Second Derivative Test to find the relative extrema, if any, of the function $f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 36 x - 5$

• A) Rel. max. \(f ( - 3 ) = 22\),
• rel. min. \(f ( 2 ) = - 73\)
• B) Rel. max. \(f ( - 2 ) = 39\),
• rel. min. \(f ( 3 ) = - 86\)
• C) Rel. max. \(f ( 3 ) = 86\),
• rel. min. \(f ( - 2 ) = - 39\)
• D) Rel. max. \(f ( 2 ) = 73\),
• rel. min. \(f ( - 3 ) = - 22\)

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