Use the first derivative test to determine the location of each local extremum and the value of the function at this extremum. f(x) = x° e 5x + 1 Identify the location and function value of the...

What is the minimum

Extracted text: Use the first derivative test to determine the location of each local extremum and the value of the function at this extremum. f(x) = x° e 5x + 1 Identify the location and function value of the maximum of the function, if any. Select the correct answer below and, if necessary, fill in any answer boxes within your choice. O A. The function has a local maximum of at x = (Type an integer or decimal rounded to four decimal places as needed.) GB. The function does not have a local maximum. Identify the location and function value of the minimum of the function, if any. Select the correct answer below and, if necessary, fill in any answer boxes within your choice. A. The function has a local minimum of .0896 at x =-0.6 (Type an integer or decimal rounded to four decimal places as needed.) O B. The function does not have a local minimum.