Question: 2. Consider the function f (x) = In(x) - 5 arctan(2x). a. Determine all critical points in the domain of f and write them as

2. Consider the function f (x) = In(x) - 5 arctan(2x). a. Determine all critical points in the domain of f and write them as ordered pairs. 4 b. Use the second derivative to classify the critical points found above as local maximums, local minimums, or if it is unable to determine the type of extrema. 2 c. Use the Extreme Value Theorem and any work shown above to determine the absolute maximum and 1 V3 absolute minimum of f on the interval 2' 2

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