Question: Consider the function below.f(x)=3xex(a)Find the interval on which f is increasing. (Enter your answer using interval notation.)(0,12)Find the interval on which f is decreasing. (Enter

Consider the function below.f(x)=3xex(a)Find the interval on which f is increasing. (Enter your answer using interval notation.)(0,12)Find the interval on which f is decreasing. (Enter your answer using interval notation.)(12,)(b)Find the local maximum value of f.322e(12)(c)Find the inflection point.(x, y)=14,32,e(14)Find the interval on which f is concave up.(Enter your answer using interval notation.)(14,)Find the interval on which f is concave down. (Enter your answer using interval notation.)(0,14)

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