Question: Consider the function below. f ( x )= x 2 e ? x (a) Find the exact value of the minimumof f for x ?

Consider the function below.

f(x)= x²e^?x

(a) Find the exact value of the minimumof f for x ? 0.
f(x) =

Find the exact value of the maximumof f for x ? 0.
f(x) =

(b) Find the exact value of x atwhich f increases most rapidly.
x =

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