Find the Second Derivative Of $f ( x ) = \frac { 2 x } { 3 x ^ { 2 } + 4 x }$

question 54

Multiple Choice

Find the second derivative of $f ( x ) = \frac { 2 x } { 3 x ^ { 2 } + 4 x }$ for x ? 0.

• A) -6 \(( 3 x + 4 ) ^ { - 2 }\)
• B) (-2) \(3 - 2\)
• C) 2 \(( 3 x + 4 ) ^ { - 1 }\)
• D) 12 \(( 3 x + 4 ) ^ { - 3 }\)
• E) 36 \(( 3 x + 4 ) ^ { - 3 }\)

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