Find the critical points of f. Assume a is a constant.
f(x) = x\sqrt{x - a}
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. For all values of a, the critical point(s) is(are) x =
(Use a comma to separate answers as needed.)
B. If a < 0, there is no critical point. If a ? 0, the critical point(s) is(are) x =
(Use a comma to separate answers as needed.)
C. If a ? 0, the critical point(s) is(are) x = . If a > 0, there is no critical point.
(Use a comma to separate answers as needed.)
D. If a ? 0, there is no critical point. If a > 0, the critical point(s) is(are) x =
(Use a comma to separate answers as needed.)
E. If a < 0, the critical point(s) is(are) x = . If a ? 0, there is no critical point.
(Use a comma to separate answers as needed.)
F. There are no critical points.
