Find the Derivative $$y = \int _ { 5 ^ { x } } ^ { 1 } \sqrt [ 4 ] { t } d t$$

question 178

Multiple Choice

Find the derivative.
- $$y = \int _ { 5 ^ { x } } ^ { 1 } \sqrt [ 4 ] { t } d t$$

• A) \(- 5 ( 1 / 4 ) x\)
• B) \(- \frac { 5 ^ { ( 5 / 4 ) \times } 25 \ln 5 } { 16 }\)
• C) \(- 5 ( 3 / 4 ) x \ln 5\)
• D) \(- 5 ( 5 / 4 ) \mathrm { x } \ln 5\)

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Definitions:

Idle Capacity

The available but unused capacity of a company to produce goods or services without incurring additional fixed costs.

Absorption Costing

A method of inventory costing in which all costs of production (both variable and fixed) are treated as product costs.

Variable Costing

Variable Costing is an accounting method that only allocates variable costs to inventory and cost of goods sold, excluding fixed manufacturing overhead from inventory valuation.

Income Statement

A financial statement that reports a company's financial performance over a specific accounting period, showing revenues, expenses, and net income.