Determine the X-Coordinate(s) of Any Relative Extrema and Inflection Points $y = x ^ { 5 } \ln \frac { x } { 9 }$

question 85

Multiple Choice

Determine the x-coordinate(s) of any relative extrema and inflection points of the function $y = x ^ { 5 } \ln \frac { x } { 9 }$

• A)relative minimum: \(x = 9 e ^ { \frac { - 1 } { 5 } }\); no inflection points
• B)relative maximum: \(x = 9 e ^ { \frac { - 1 } { 5 } } ;\) inflection point: \(x = 9 e ^ { \frac { - 9 } { 20 } }\)
• C)no relative maximum or minimum; inflection point: \(x = 9 e ^ { \frac { - 1 } { 5 } }\)
• D) no relative extrema or inflection points.
• E)relative minimum: \(x = 9 e ^ { \frac { - 1 } { 5 } } ;\) inflection point: \(x = 9 e ^ { \frac { - 9 } { 20 } }\)

---

Definitions:

IRR

The internal rate of return, a metric used to evaluate the profitability of potential investments.

Investment

The act of allocating resources, usually money, with the expectation of earning an income or profit.

Analytical Methods

Techniques or procedures used to systematically analyze substances, financial data, or information to deduce qualitative and/or quantitative insights.

Project Analysis

The evaluation of the viability, stability, and profitability of a project through methods like cost-benefit analysis and risk assessment.