Plot the derivative of f (x) = x/(x2 + 1) over [4, 4]. Use the graph to determine the

Chapter 3, Problem 46

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Plot the derivative of f (x) = x/(x2 + 1) over [4, 4]. Use the graph to determine the intervals on which f (x) > 0 and f (x) < 0. Then plot f and describe how the sign of f (x) is reflected in the graph of f . 47

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