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) \(\left( 6 x ^ { 5 } - 6 x ^ { 4 } + 24 x ^ { 3 } - 18 x ^ { 2 } \right) e ^ { x ^ { 3 } }\)

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Long Run

A period where all inputs or factors of production can be varied, allowing full adjustment to changes in the market or economy.

Short Run

A period in economics where at least one input is fixed and cannot be changed by the firm.

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