Find the Second Derivative of the Function $$y = \frac { 3 - 2 x ^ { 3 } + x ^ { 5 } } { x ^ { 9 } }$$

question 173

Multiple Choice

Find the second derivative of the function.
- $$y = \frac { 3 - 2 x ^ { 3 } + x ^ { 5 } } { x ^ { 9 } }$$

• A) \(\frac { \mathrm { d } ^ { 2 } \mathrm { y } } { \mathrm { dx } \mathrm { x } ^ { 2 } } = \frac { 270 } { \mathrm { x } ^ { 12 } } + \frac { 84 } { \mathrm { x } ^ { 5 } } - \frac { 20 } { \mathrm { x } ^ { 3 } }\)
• B) \(\frac { d ^ { 2 } y } { d x ^ { 2 } } = - \frac { 27 } { x ^ { 10 } } + \frac { 12 } { x ^ { 7 } } - \frac { 4 } { x ^ { 5 } }\)
• C) \(\frac { \mathrm { d } ^ { 2 } \mathrm { y } } { \mathrm { dx } ^ { 2 } } = \frac { 27 } { \mathrm { x } ^ { 11 } } + \frac { 12 } { \mathrm { x } ^ { 6 } } - \frac { 4 } { \mathrm { x } ^ { 4 } }\)
• D) \(\frac { \mathrm { d } ^ { 2 } \mathrm { y } } { d \mathrm { x } ^ { 2 } } = \frac { 270 } { \mathrm { x } ^ { 11 } } - \frac { 84 } { \mathrm { x } ^ { 8 } } + \frac { 20 } { \mathrm { x } ^ { 6 } }\)

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