Find the Derivative Of $f ( x ) = e ^ { x } \left( x ^ { 2 } + 2 \right)$

question 79

Multiple Choice

Find the derivative of $f ( x ) = e ^ { x } \left( x ^ { 2 } + 2 \right)$ .

• A) \(2 x e ^ { x }\)
• B) \(e ^ { x } ( 2 x + 2 )\).
• C) \(2 x ^ { 2 } e ^ { x - 1 }\)
• D)\(e ^ { x } \left( x ^ { 2 } + 2 x \right)\)
• E) \(x ^ { 2 } e ^ { x - 1 }\)
• F) \(e ^ { x } \left( x ^ { 2 } + 2 x + 2 \right)\)
• G) \(e ^ { x } ( 2 x + 2 )\)
• H)None of these

---

Definitions:

Common Genes

Genes that are shared by two or more species, indicating a common ancestry or similar evolutionary pressures.

Theory

An explanation using an integrated set of principles that organizes observations and predicts behaviors or events.

Clinical Psychologist

A professional specializing in diagnosing and treating mental illness, emotional disturbances, and dysfunctional behavior through various therapeutic methods.

Case Study

A detailed examination of a single subject (an individual, group, or event), used as a research method to gain in-depth insights.