Find the Derivative of the Function $$s = \frac { t ^ { 7 } + 3 t + 6 } { t ^ { 2 } }$$

question 65

Multiple Choice

Find the derivative of the function.
- $$s = \frac { t ^ { 7 } + 3 t + 6 } { t ^ { 2 } }$$

• A) \(\frac { \mathrm { ds } } { \mathrm { dt } } = \mathrm { t } ^ { 4 } - \frac { 3 } { \mathrm { t } ^ { 2 } } - \frac { 6 } { \mathrm { t } ^ { 3 } }\)
• B) \(\frac { \mathrm { ds } } { \mathrm { dt } } = 12 \mathrm { t } ^ { 9 } + 8 \mathrm { t } ^ { 2 } + 12 \mathrm { t }\)
• C) \(\frac { d s } { d t } = 5 t ^ { 4 } - \frac { 3 } { t ^ { 2 } } - \frac { 12 } { t ^ { 3 } }\)
• D) \(\frac { d s } { d t } = 5 t ^ { 4 } + \frac { 3 } { t ^ { 2 } } + \frac { 12 } { t ^ { 3 } }\)

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