[All Steps] Given f(x)=2/3 x e^-x, determine the equation of the first derivative with respect to \boldsymbolx, using the derivative, determine the coordinates
Question: Given \(f(x)=\frac{2}{3} x e^{-x}\),
- determine the equation of the first derivative with respect to \(\boldsymbol{x}\),
- using the derivative, determine the coordinates of the minimum/maximum point,
- determine the equation of the second derivative with respect to \(\boldsymbol{x}\),
- using the second derivative, determine the coordinates of any point of inflection that may occur.
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