Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. f( x ) = x3 + 6x2 What is(are) the critical point(s) of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) is(are) x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. There are no critical points for f. Find f'(x). f"' ( x ) =] What is/are the local minimum/minima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local minimum/minima of f is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. There is no local minimum of f. What is/are the local maximum/maxima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local maximum/maxima of f is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. There is no local maximum of f