Use the first derivative test to determine the location of each local extremum and the value of the function at these extremums. - 5x f(x) = 2x e Identify the location of each local extremum. Select the correct answer below and, if necessary, fill in any answer box(es) within your choice. O A. The function has no local minimums, and has local maximums (has a local maximum) at x = (Type an exact answer. Use a comma to separate answers as needed.) O B. The function has local maximums (has a local maximum) at x= and has local minimums (has a local minimum) at x = (Type an exact answer. Use a comma to separate answers as needed.) O C. The function has no local maximums, and has local minimums (has a local minimum) at x = (Type an exact answer. Use a comma to separate answers as needed.) O D. The function has no local extremum. Identify the value of each local extremum. Select the correct answer below and, if necessary, fill in any answer box(es) within your choice. O A. The function has no local maximums, and the value(s) of the local minimum(s) is (are) f(x) = (Type an exact answer. Use a comma to separate answers as needed.) O B. The value(s) of the local maximum(s) is(are) f(x) = (Type an exact answer. Use a comma to separate answers as needed.) and the value(s) of the local minimum(s) is (are) f(x) = O C. The function has no local minimums, and the value(s) of the local maximum(s) is (are) f(x) = (Type an exact answer. Use a comma to separate answers as needed.) O D. The function has no local extremum.