Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x)=4x³ e⁻ˣ; [−1,4] Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice (Type exact answers. Use a comma to separate answers as needed.)
A. The absolute maximum is at x= and the absolute minimum is at x=
B. The absolute minimum is at x=, but there is no absolute maximum.
C. The absolute maximum is at x= but there is no absolute minimum.
D. There are no absolute extreme values for f(x) on [−1,4].