Consider the Function $f ( x ) = x ^ { 2 } e ^ { - 9 x }$

question 57

Short Answer

Consider the function $f ( x ) = x ^ { 2 } e ^ { - 9 x }$ . (a) Find the intervals on which $f$ is increasing or decreasing. (b) Find the relative maxima and relative minima of $f$ .

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Definitions:

Behavioral Tendency

The inclination to act in certain ways based on learned behavior or inherent psychological mechanisms.

Prejudice

A preconceived opinion or judgment towards people, objects, or situations that is not based on actual experience or rational argument.

Discrimination

The unjust or prejudicial treatment of different categories of people, often based on race, age, sex, or disability.

Prejudice

Preconceived opinion or bias, often negative, towards an individual or group without sufficient knowledge, thought, or reason.