$$\text { Use the Second Derivative Test to find the relative extrema, if any, of the function } f ( x ) = x + \frac { 64 } { x } \text {. }$$

question 99

Multiple Choice

$$\text { Use the Second Derivative Test to find the relative extrema, if any, of the function } f ( x ) = x + \frac { 64 } { x } \text {. }$$ Select the correct answer.

• A) None
• B) Rel. max. \(f ( 0 ) = 0\)
• C) Rel. \(\max . f ( 8 ) = 16\),
• rel. min. \(f ( - 8 ) = - 16\)
• D) Rel. \(\max . f ( - 8 ) = - 16\),
• rel. min. \(f ( 8 ) = 16\)

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Definitions:

Fixed Costs

Expenses that do not change in proportion to the activity of a business, such as rent, salaries, and insurance.

Variable Costs

Financial outlays that directly correspond to the volume of production or sales, encompassing costs for raw materials and direct labor.

Sales

The transactions involving the exchange of goods or services for money, forming the revenue of a company.

Units

Units refer to the individual components or elements that can be counted or measured, often used in the context of production, sales, and inventory.