Find the Second Derivative $$y = 4 x ^ { 2 } + 9 x + 5 x ^ { - 3 }$$

question 109

Multiple Choice

Find the second derivative.
- $$y = 4 x ^ { 2 } + 9 x + 5 x ^ { - 3 }$$

• A) \(8 + 60 x ^ { - 1 }\)
• B) \(8 + 60 x ^ { - 5 }\)
• C) \(8 x + 9 - 15 x ^ { - 4 }\)
• D) \(8 - 60 x ^ { - 5 }\)

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Definitions:

Fixed Manufacturing Overhead

Indirect manufacturing costs that remain relatively constant regardless of the level of production, including salaries of managers and depreciation of factory equipment.

Work in Process

Materials and goods partially completed during the production process; inventory that is in-between raw materials and finished goods.

Volume Variance

The difference between the budgeted amount of overhead based on standard production volumes and the actual overhead incurred, due to changes in production volume.

Activity Level

A measure of the volume of production or operations, often influencing variable costs and capacity planning.