Find the Derivative of the Function $$y = \left( 2 x ^ { 3 } - 2 x ^ { 2 } + 8 x - 6 \right) e ^ { x ^ { 3 } }$$

question 215

Multiple Choice

Find the derivative of the function.
- $$y = \left( 2 x ^ { 3 } - 2 x ^ { 2 } + 8 x - 6 \right) e ^ { x ^ { 3 } }$$

• A) \(\left( 6 x ^ { 5 } - 6 x ^ { 4 } + 24 x ^ { 3 } + 6 x ^ { 2 } - 4 x + 8 \right) e ^ { x ^ { 3 } }\)
• B) \(\left( 6 x ^ { 5 } - 6 x ^ { 4 } + 24 x ^ { 3 } - 12 x ^ { 2 } - 4 x + 8 \right) e ^ { x ^ { 3 } }\)
• C) \(\left( 6 x ^ { 2 } - 4 x + 8 \right) e ^ { x ^ { 3 } }\)
• D) \(\left( 6 x ^ { 5 } - 6 x ^ { 4 } + 24 x ^ { 3 } - 18 x ^ { 2 } \right) e ^ { x ^ { 3 } }\)

---

Definitions:

Industry Supply

The aggregate production of goods or services that companies within a particular sector can and want to offer at different pricing points.

Pure Competition

A market structure characterized by a large number of small firms producing identical products, where no single company has pricing power and market entry and exit are relatively easy.

Long-Run Adjustments

Long-run adjustments are changes made by firms or industries in response to shifts in market conditions over a longer period, involving variations in production levels and the entry or exit of firms.

Market Price

The present cost at which a service or asset is available for purchase or sale in a specific market.