Find the Derivative $$y = 2 x ^ { 2 } e ^ { - x }$$

question 104

Multiple Choice

Find the derivative.
- $$y = 2 x ^ { 2 } e ^ { - x }$$

• A) \(2 x e ^ { x } ( 2 - x )\)
• B) \(2 x e ^ { - x } ( x + 2 )\)
• C) \(4 \times e ^ { - x } ( 1 - x )\)
• D) \(2 \times \mathrm { e } ^ { - \mathrm { x } } ( 2 - \mathrm { x } )\)

Differentiate between short-run and long-run costs in the context of variable and fixed inputs.

Calculate economic profit, incorporating opportunity costs and explicit costs.

Understand the concept of economic profits, including implicit and explicit costs.

Analyze the impact of investments on the reduction of production costs and its effect on economic profits.

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