Use the Second Derivative Test to Find the Relative Extrema $f(x)=2 x^{3}-3 x^{2}-36 x-5$

question 101

Multiple Choice

Use the Second Derivative Test to find the relative extrema, if any, of the function $f(x) =2 x^{3}-3 x^{2}-36 x-5$ .

• A) Rel. max. \(f(-3)=22\) ,
• Rel. min. \(f(2)=-73\)
• B) Rel. max. \(f(-2)=39\) ,
• Rel. min. \(f(3)=-86\)
• C) Rel. max. \(f(3)=86\) ,
• Rel. min. \(f(-2)=-39\)
• D) Rel. max. \(f(2)=73\) ,
• Rel. min. \(f(-3)=-22\)

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Definitions:

Manufacturing Costs

Expenses directly related to the production of goods, including raw materials, labor, and overhead.

Prime Costs

The sum of direct materials cost and direct labor cost, representing the primary costs involved in producing a product.

Finished Goods Inventory

The stock of completed products ready for sale but not yet sold, representing a current asset on the balance sheet.

Manufacturer

A company or individual that creates goods using raw materials and components through various processes, labor, and machinery.