Provide an Appropriate Response $\mathbf { u }$ Is a Differentiable Function Of

question 95

Essay

Provide an appropriate response.
-Prove that if $\mathbf { u }$ is a differentiable function of $\mathrm { t }$ and $\mathrm { f }$ is a differentiable scalar function of $\mathrm { t }$ , then
$\frac { d } { d t } ( f u ) = \frac { d f } { d t } \mathbf { u } + f \frac { d u } { d t } \text {. }$

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Definitions:

Variable Costing

An accounting method that only includes variable production costs (direct materials, direct labor, and variable manufacturing overhead) in product costs.

Product Costs

The costs directly associated with the creation of a product, encompassing direct materials, direct labor, and manufacturing overhead.

Variable Manufacturing Costs

Costs that vary directly with the volume of production, such as raw materials and direct labor.

Manufacturing Overhead

The collective costs associated with the production process that cannot be directly traced to specific units produced, including indirect materials, labor, and other overhead expenses.