Find the Derivative $$y = 6 x ^ { 2 } e ^ { - x }$$

question 99

Multiple Choice

Find the derivative.
- $$y = 6 x ^ { 2 } e ^ { - x }$$

• A) \(6 x e ^ { - x } ( 2 - x )\)
• B) \(12 x e ^ { - x } ( 1 - x )\)
• C) \(6 \mathrm { xe } ^ { - \mathrm { x } } ( \mathrm { x } + 2 )\)
• D) \(6 \mathrm { xe } ^ { \mathrm { x } } ( 2 - \mathrm { x } )\)

---

Definitions:

Authorized Contract

An authorized contract is a legal agreement that has been approved and executed by individuals or entities who have the legal capacity and authority to do so.

Tort

A civil wrong that causes harm or loss, leading to legal liability.

Principal

The original sum of money borrowed in a loan or invested, excluding any interest or dividends.

Business Activity

Business activity involves actions taken by companies or entrepreneurs to produce, sell, or trade goods and services to generate profit.