Given $f ( x ) = x ^ { 4 } e ^ { x }$

question 95

Essay

Given $f ( x ) = x ^ { 4 } e ^ { x }$ , find the value(s) of x where $f ^ { \prime \prime } ( x ) = 0$ .

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Definitions:

Maximum Oxygen Uptake

The maximum rate at which an individual can consume oxygen during intense or maximal exercise, indicative of aerobic capacity.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating the spread from the mean.

Physical Fitness

The ability of an individual to carry out daily tasks with optimal performance, endurance, and strength, due to good health and physical conditioning.

One-sample T Test

A statistical test used to compare the mean of a sample to a known value or theoretical expectation.