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Please answer all the parts a. Locate the critical points of the given function. b. Use the First Derivative Test to locate the local maximum

Please answer all the parts

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a. Locate the critical points of the given function. b. Use the First Derivative Test to locate the local maximum and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist). f(x) = 4x - 5tan "'x; [-213,213] The critical point(s) is/are located at x = (Type an exact answer. Use a comma to separate answers as needed.) b. Find any maximum values. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. There is a local maximum at x = (Type an exact answer.) O B. There is no local maximum. Find any minimum values. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. There is a local minimum at x =. (Type an exact answer.) O B. There is no local minimum. c. Find the absolute minimum value on the given interval, if it exists. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The absolute minimum value is (Type an integer or decimal rounded to three decimal places as needed.) O B. There is no absolute minimum. Find the absolute maximum value on the given interval, if it exists. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The absolute maximum value is (Type an integer or decimal rounded to three decimal places as needed.) O B. There is no absolute maximum

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