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Please evaluate these question with every step and every explanation for each of one. Lef f(x)= -(3/8)x4+x3+1,...

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Basic Math

Please evaluate these question with every step and everyexplanation for each of one.

Lef f(x)= -(3/8)x4+x3+1, wherex∈(−∞,∞)

1)Find the critical numbers of f(x)

2)Find the absolute maximum value and the absolute minimum valueof f(x) on the closed interval [-1,3]

3)Find the intervals where f(x) is increasing and the intervalswhere it is decreasing. Find the local maximum values and the localminimum values of f(x)

4)Find the intervals where the graph of f(x) is concave upwardand the intervals where it is concave downward. Find the inflectionpoints of f(x)

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