Find the Derivative of the Function $$p = \left( \frac { q ^ { 8 } + 4 } { 2 q } \right) \left( \frac { q ^ { 7 } + 6 } { q } \right)$$

question 170

Multiple Choice

Find the derivative of the function.
- $$p = \left( \frac { q ^ { 8 } + 4 } { 2 q } \right) \left( \frac { q ^ { 7 } + 6 } { q } \right)$$

• A) \(\frac { \mathrm { dp } } { \mathrm { dq } } = \frac { 13 } { 2 } \mathrm { q } ^ { 12 } - \frac { 24 } { \mathrm { q } ^ { 3 } }\)
• B) \(\frac { d p } { d q } = \frac { 1 } { 2 } q ^ { 12 } + 2 q ^ { 4 } + 3 q ^ { 5 } + \frac { 24 } { q ^ { 3 } }\)
• C) \(\frac { d p } { d q } = \frac { 13 } { 2 } q ^ { 12 } + 10 q ^ { 4 } + 18 q ^ { 5 } - \frac { 24 } { q ^ { 3 } }\)
• D) \(\frac { d p } { d q } = \frac { 17 } { 2 } q ^ { 16 } + 18 q ^ { 8 } + 30 q ^ { 9 } - \frac { 24 } { q ^ { 3 } }\)

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