Find the Derivative $y = \int _ { 0 } ^ { \sqrt { x } } 9 t \cos \left( t ^ { 8 } \right) d t$

question 184

Multiple Choice

Find the derivative.
- $y = \int _ { 0 } ^ { \sqrt { x } } 9 t \cos \left( t ^ { 8 } \right) d t$

• A) \(9 \cos \left( x ^ { 4 } \right) - 9 \sqrt { x } \sin \left( x ^ { 4 } \right)\)
• B) \(8 \sqrt { x } \cos \left( x ^ { 4 } \right)\)
• C) \(9 \sqrt { x } \cos \left( x ^ { 4 } \right)\)
• D) \(\frac { 9 } { 2 } \cos \left( x ^ { 4 } \right)\)

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Definitions:

Incremental Cost

An increase in cost between two alternatives.

Manufacturing Cost

The total cost incurred by a company to manufacture a product, including raw materials, labor, and overhead expenses.

Production Increase

An upturn in the amount of products manufactured and processed in a given period compared to a previous period.

Incremental Cost

The additional cost associated with producing one more unit of a product or service.