Question: Let h(x) = x(x2 1)/x2 + 1 and suppose that f(x) = h(x). Plot h(x) and use the plot to describe the local extrema

Let h(x) = x(x2 − 1)/x2 + 1 and suppose that f′(x) = h(x). Plot h(x) and use the plot to describe the local extrema and the increasing/decreasing behavior of f(x). Sketch a plausible graph for f (x) itself.

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