Find the Total Differential for the Function $w = 4 z ^ { 3 } y \sin x$

question 49

Multiple Choice

Find the total differential for the function $w = 4 z ^ { 3 } y \sin x$

• A) \(d w = 4 z ^ { 3 } y \cos x d x - 4 z ^ { 3 } \cos x d y + 12 z ^ { 2 } y \sin x d z\)
• B) \(d w = 4 z ^ { 3 } y \sin x d x - 4 z ^ { 3 } \sin x d y - 8 z ^ { 2 } y \sin x d z\)
• C) \(d w = 4 z ^ { 3 } y \cos x d x + 8 z ^ { 3 } \sin x d y - 12 z ^ { 2 } y \sin x d z\)
• D) \(d w = 8 z ^ { 3 } y \sin x d x + 4 z ^ { 3 } \sin x d y + 12 z ^ { 2 } y \sin x d z\)
• E) \(d w = 4 z ^ { 3 } y \cos x d x + 4 z ^ { 3 } \sin x d y + 12 z ^ { 2 } y \sin x d z\)

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Definitions:

Variable Costing

A costing method in which fixed manufacturing overhead is not assigned to the product, but rather treated as an expense of the period.

Absorption Costing

is an accounting method that includes all manufacturing costs—direct materials, direct labor, and both variable and fixed manufacturing overhead—in the cost of a product.

Unit Product Cost

The total cost incurred to produce, manufacture, or acquire a product, divided by the total number of units produced.

Absorption Costing

A financial recording approach that encompasses all production expenses, such as direct materials, direct labor, and overhead costs, within the price of a product.