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Problem 7. (10 points) (Optimization) Consider the function f that is given by2/x2+1Of all lines tangent to the graph of f, find the value of

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Problem 7. (10 points) (Optimization) Consider the function f that is given by2/x2+1Of all lines tangent to the graph of f, find the value of a where the tangent line to fat zhas the maximum slope. Be sure to carefully justify that the value you found is an absolutemaximum.

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