Determine where the graph of $f(x)=x^{2} e^{-4 x}$ is concave upward and where it is concave downward. Also, find all inflection points of the function.

Name: Determine where the graph of $f(x)=x^{2} e^{-4 x}$ is concave upward and where it is concave downward. Also, find all inflection points of the function.
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The Answer of Determine where the graph of $f(x)=x^{2} e^{-4 x}$ is concave upward and where it is concave downward. Also, find all inflection points of the function.

Determine Where the Graph Of f(x)=x2e−4xf(x)=x^{2} e^{-4 x}f(x)=x2e−4x Is Concave Upward and Where It Is Concave Downward

Determine Where the Graph Of $f(x)=x^{2} e^{-4 x}$ Is Concave Upward and Where It Is Concave Downward