Find $\frac { \mathrm { d } s } { \mathrm {~d} t }$

question 23

Multiple Choice

Find $\frac { \mathrm { d } s } { \mathrm {~d} t }$ using implicit differentiation. $e ^ { s t } = s ^ { 9 }$

• A) \(9 - e ^ { s t }\)
• B) \(\frac { e ^ { s t } } { 9 - e ^ { s t } }\)
• C) \(\frac { s e ^ { s t } } { 9 s ^ { 8 } - t e ^ { s t } }\)
• D) \(\frac { s ^ { 8 } } { 9 s ^ { 8 } - t e ^ { s t } }\)
• E) \(\frac { s e ^ { s t } } { 9 s - t e ^ { s t } }\)

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Definitions:

2/10, Net 30

A common credit term indicating that a buyer can take a 2% discount on the invoice price if payment is made within 10 days, otherwise, the full invoice amount is due in 30 days.

Accruals

Adjustments in accounting for income that has been generated but not yet documented, and for costs that have been accrued but not yet documented.

Working Capital Needs

The funds required to finance the day-to-day operations of a business, including managing its short-term assets and liabilities.

Explicit Interest

The stated interest rate on a loan or financial instrument, not including the effects of compounding or any hidden charges.