Let $f ( x ) = \int _ { x ^ { 2 } } ^ { 3 } \sqrt [ 3 ] { 4 - t ^ { 3 } } d t . \text { Find } f ^ { \prime } ( x )$

question 17

Multiple Choice

Let $f ( x ) = \int _ { x ^ { 2 } } ^ { 3 } \sqrt [ 3 ] { 4 - t ^ { 3 } } d t . \text { Find } f ^ { \prime } ( x )$

• A)0
• B) \(- 2 x \sqrt [ 3 ] { 4 - x ^ { 6 } }\)
• C) \(2 x \sqrt [ 3 ] { 4 - x ^ { 6 } }\)
• D) \(\sqrt [ 3 ] { 4 - x ^ { 3 } }\)
• E) \(- \sqrt [ 3 ] { 4 - x ^ { 6 } }\)
• F)
• \(- 2 x \sqrt [ 3 ] { 4 - x ^ { 3 } }\)
• G) \(\sqrt [ 3 ] { 4 - x ^ { 6 } }\)
• H) \(- \sqrt [ 3 ] { 4 - x ^ { 3 } }\)

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Definitions:

Finished Products

Goods that have completed all stages of production and are ready for sale to customers.

Converting Labor

The process of transforming labor into tangible outputs, typically in manufacturing or production environments.

Other Resources

Additional assets or support mechanisms that can be utilized to achieve specific goals or improve efficiency, including human skills, technology, and information.

Flexible Production

A manufacturing strategy that enables a company to adjust and reconfigure its production line quickly to adapt to changes in market demand or product design.