Question: 8. Consider the function f(x) = In(x) - 2 arctan(x). a. Find all critical points of the function that are in its domain. Write any

 8. Consider the function f(x) = In(x) - 2 arctan(x). a.

Find all critical points of the function that are in its domain.

8. Consider the function f(x) = In(x) - 2 arctan(x). a. Find all critical points of the function that are in its domain. Write any points you find as an ordered pair. 5 b. Classify the critical points as local maximums, local minimums, or if it cannot be determined by using the second derivative. 5 c. Use the Extreme Value Theorem and any relevant work in parts a.-b. to determine the absolute maximum and minimum of f on the interval 2

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