Exam 4: Section 4: Applications of Differentiation

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Find the points of inflection and discuss the concavity of the function Find the points of inflection and discuss the concavity of the function   on the interval   . on the interval Find the points of inflection and discuss the concavity of the function   on the interval   . .

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Find all relative extrema of the function Find all relative extrema of the function   . Use the Second Derivative Test where applicable. . Use the Second Derivative Test where applicable.

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Suppose a manufacturer has determined that the total cost C of operating a factory is Suppose a manufacturer has determined that the total cost C of operating a factory is   where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.) where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.)

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Find all points of inflection of the graph of the function Find all points of inflection of the graph of the function   on the interval   . Round your answer to three decimal places wherever applicable. on the interval Find all points of inflection of the graph of the function   on the interval   . Round your answer to three decimal places wherever applicable. . Round your answer to three decimal places wherever applicable.

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Find all points of inflection on the graph of the function Find all points of inflection on the graph of the function   . .

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Determine the open intervals on which the graph of the function Determine the open intervals on which the graph of the function   is concave upward or concave downward. is concave upward or concave downward.

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