Complete parts a through c for the given function.

f(x) = 4x^5 + 10x^4 - 100x^3 - 4 on [-6,4]

a. Locate the critical point(s) off. Select the correct choice below and, if necessary, fill in the answer box to complete your choice

A. The critical point(s) is(are) at x =

(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)

B. The function does not have a critical value.
b. Use the First Derivative Test to locate the local maximum/maxima and minimum/minima values. 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 an integer or a simplified fraction.)

B. The local maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.)

C. The local maximum/maxima is/are at x = Q and the local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.)

D. There is no local minimum and there is no local maximum. Identify the absolute maximum and minimum values of the function on the given interval (when they exist).

c. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A. The absolute maximum is at x = but there is no absolute minimum. (Use a comma to separate answers as needed. Type integers or simplified fractions.)

B. The absolute maximum is at x = and the absolute minimum is at x = (Use a comma to separate answers as needed. Type integers or simplified fractions.)

C. The absolute minimum is at x = but there is no absolute maximum. (Use a comma to separate answers as needed. Type integers or simplified fractions.)

D. The function has no absolute extrema.