Find the Second Derivative of the Function $$s = \frac { t ^ { 7 } + 9 t + 5 } { t ^ { 2 } }$$

question 339

Multiple Choice

Find the second derivative of the function.
- $$s = \frac { t ^ { 7 } + 9 t + 5 } { t ^ { 2 } }$$

• A) \(\frac { d ^ { 2 } s } { d t ^ { 2 } } = 5 t ^ { 4 } - \frac { 9 } { t ^ { 2 } } - \frac { 10 } { t ^ { 3 } }\)
• B) \(\frac { d ^ { 2 } s } { d t ^ { 2 } } = 20 t ^ { 3 } + \frac { 18 } { t ^ { 3 } } + \frac { 30 } { t ^ { 4 } }\)
• C) \(\frac { \mathrm { d } ^ { 2 } \mathrm {~s} } { \mathrm { dt } ^ { 2 } } = 5 \mathrm { t } ^ { 3 } - \frac { 9 } { \mathrm { t } ^ { 3 } } - \frac { 10 } { \mathrm { t } ^ { 4 } }\)
• D) \(\frac { \mathrm { d } ^ { 2 } \mathrm {~s} } { \mathrm { dt } ^ { 2 } } = 20 \mathrm { t } ^ { 5 } + \frac { 18 } { \mathrm { t } } + \frac { 30 } { \mathrm { t } ^ { 2 } }\)

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