Find the Derivative of the Function at the Given Value $$f ( x ) = x \sin ( 10 x ) ; x = 8$$

question 20

Multiple Choice

Find the derivative of the function at the given value of x using a graphing utility. If necessary, round to four decimal
places.
- $$f ( x ) = x \sin ( 10 x ) ; x = 8$$

• A) -9.8247
• B) -7,950.7128
• C) -8.8297
• D) 7,950.7128

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Definitions:

Monopolistically Competitive

A market configuration where numerous companies offer goods that are alike but not the same, granting them a measure of control over the market.

Demand Schedule

A table that lists the quantity of a good that consumers are willing and able to purchase at various prices over a specific period.

Cost Schedules

A representation or table that outlines the costs associated with production at different levels of output.

Economic Profits

Economic profits are the financial gains made by a firm or individual after accounting for both explicit and implicit costs, distinguishing from accounting profits by considering opportunity costs.