Find the Second Derivative of the Function $$y = \frac { ( x - 9 ) \left( x ^ { 2 } + 4 x \right) } { x ^ { 3 } }$$

question 141

Multiple Choice

Find the second derivative of the function.
- $$y = \frac { ( x - 9 ) \left( x ^ { 2 } + 4 x \right) } { x ^ { 3 } }$$

• A) \(\frac { \mathrm { d } ^ { 2 } y } { d x ^ { 2 } } = \frac { 10 } { x ^ { 3 } } + \frac { 216 } { x ^ { 4 } }\)
• B) \(\frac { \mathrm { d } ^ { 2 } y } { d x ^ { 2 } } = \frac { 5 } { x ^ { 2 } } + \frac { 72 } { x ^ { 3 } }\)
• C) \(\frac { \mathrm { d } ^ { 2 } \mathrm { y } } { \mathrm { dx } ^ { 2 } } = - \frac { 10 } { \mathrm { x } ^ { 3 } } - \frac { 216 } { \mathrm { x } ^ { 4 } }\)
• D) \(\frac { \mathrm { d } ^ { 2 } \mathrm { y } } { \mathrm { dx } \mathrm { x } ^ { 2 } } = - \frac { 10 } { \mathrm { x } } - \frac { 216 } { \mathrm { x } ^ { 2 } }\)

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