Find the Largest Interval on Which the Function $f ( x ) = x e ^ { - x }$

question 264

Short Answer

Find the largest interval on which the function $f ( x ) = x e ^ { - x }$ is concave upward.

---

Definitions:

Human Respiratory Diseases

Medical conditions affecting the lungs and the ability to breathe, such as asthma and pneumonia.

Toxic Metals

Heavy metals and metalloids that are harmful to the environment and living organisms, including lead, mercury, and arsenic.

Acid Deposition

The process by which acidic pollutants from the atmosphere are deposited on the earth's surface, negatively affecting ecosystems and structures.

Regional Problem

A specific issue or challenge that affects a particular geographic area, which may require localized solutions or interventions.