For What Values Of $c$ Does the Curve Have Maximum and Minimum Points for the and Minimum

question 24

Multiple Choice

For what values of $c$ does the curve have maximum and minimum points for the given function $f ( x ) = 2 x ^ { 3 } + c x ^ { 2 } + 8 x ?$

• A) \(c = \pm \sqrt { 33 }\)
• B) \(c = \pm 4 \sqrt { 3 }\)
• C) \(- 4 \sqrt { 3 } < c < 4 \sqrt { 3 }\)
• D) \(c < - 4 \sqrt { 3 } , c > 4 \sqrt { 3 }\)
• E) \(c \langle - \sqrt { 33 } , c \rangle \sqrt { 33 }\)

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