Determine the location of each local extremum of the function f(x) = -x^3 - 3x^2 - 2. What is/are the local minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The local minimum/minima is/are at x = .
(Use a comma to separate answers as needed. Type integers or simplified fractions.)
B. The function has no local minimum.
What is/are the local maximum/maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The local maximum/maxima is/are at x = .
(Use a comma to separate answers as needed. Type integers or simplified fractions.)
B. The function has no local maximum.