Pregunta: A function f has derivative f'(x)=x(x-3)ex, and a critical point at x=0.Classify the critical point.LOCAL MAXIMUMNOT A LOCAL EXTREMUMLOCAL MINIMUM

A function $f$ has derivative $f^{\text{'}}(x)=x(x-3)e^x,$ and a critical point at $x=0.$

Classify the critical point.

LOCAL MAXIMUM

NOT A LOCAL EXTREMUM

LOCAL MINIMUM