Find the Exact Location of All the Relative and Absolute $( 0 , \infty )$

question 60

Multiple Choice

Find the exact location of all the relative and absolute extrema of the function with domain $( 0 , \infty )$ . $f ( x ) = x \ln \left( x ^ { 3 } \right)$

• A) \(\left( \frac { 1 } { e } , \frac { 3 } { e } \right)\) - absolute minimum
• B) \(\left( \frac { 1 } { e } , - \frac { 3 } { e } \right)\) - relative maximum
• C) \(\left( \frac { 3 } { e } , - \frac { 1 } { 3 e } \right)\) - absolute minimum
• D) \(\left( \frac { 1 } { e } , - \frac { 1 } { 3 e } \right)\) - relative minimum
• E) \(\left( \frac { 1 } { e } , - \frac { 3 } { e } \right)\) - absolute minimum

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Definitions:

Psychology Experiments

Research methods used in psychology to study behavior and mental processes through controlled conditions and variables.

Human Participants

Individuals who take part in research studies or experiments, contributing data through their actions or responses.

Normal Distribution

A bell-shaped curve that represents the distribution of many types of data where most values cluster around the mean.

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Quantitative measures or figures used to represent someone's ability, achievement, or performance in various tests or competitions.