Find the Absolute Maximum and Absolute Minimum Values, If Any $f(x)=x e^{-4 x}$

question 139

Short Answer

Find the absolute maximum and absolute minimum values, if any, of the function $f(x)=x e^{-4 x}$ on $[-1,1]$

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Definitions:

Gender Norms

Societal expectations and behaviors considered appropriate for individuals based on their perceived sex, influencing roles, actions, and self-perceptions.

Benevolent Sexism

A form of sexism that is couched in terms of positive attitudes and actions that ostensibly promote women's well-being but in fact support traditional gender roles and perpetuate gender inequalities.

Hostile Sexism

Antagonistic attitudes towards women, often characterized by an open dislike or prejudice.

Confirmation Bias

The tendency to search for, interpret, favor, and recall information in a way that confirms one's preexisting beliefs or hypotheses.