Find the Derivative of the Function $$s = \frac { t ^ { 8 } + 9 t + 4 } { t ^ { 2 } }$$

question 109

Multiple Choice

Find the derivative of the function.
- $$s = \frac { t ^ { 8 } + 9 t + 4 } { t ^ { 2 } }$$

• A) \(\frac { d s } { d t } = t ^ { 5 } - \frac { 9 } { t ^ { 2 } } - \frac { 4 } { t ^ { 3 } }\)
• B) \(\frac { d s } { d t } = 6 t ^ { 5 } + \frac { 9 } { t ^ { 2 } } + \frac { 8 } { t ^ { 3 } }\)
• C) \(\frac { d s } { d t } = 6 t ^ { 5 } - \frac { 9 } { t ^ { 2 } } - \frac { 8 } { t ^ { 3 } }\)
• D) \(\frac { d s } { d t } = 8 t ^ { 10 } + 9 t ^ { 2 } + 8 t\)

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A market structure characterized by a large number of buyers and sellers, where no single entity can dictate prices or terms, leading to an efficient allocation of resources.

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The price at which the quantity of a good or service demanded equals the quantity supplied, leading to a stable market condition.

Marginal Cost

The expenditure required to produce an additional single unit of a product or service.

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The total amount of money generated by a business from selling its goods or services, calculated as the unit price multiplied by the quantity sold.