Use the first derivatives to determine the location of local extremum and the value of the function at this extremum.
f(x) = x - In|x|
A. A local maximum of 10 occurs at x = 2 B. A local minimum of 1 occurs at x = 1 C. A local maximum of 6 occurs at x = 3 D. A local minimum of 0.5 occurs at x = 0.5