Find any critical numbers for f and then use the second derivative test to decide whether the critical number(s) lead to relative maxima or relative minima. If f''(c) = 0 or f''(c) does not exist
for a critical number c, then the second derivative test gives no information. In this case, use the first derivative test instead.
f(x) = (x + 2)$^4$
What is/are the critical number(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The critical number(s) is/are x =
(Simplify your answer. Use a comma to separate answers as needed.)
B. There are no critical numbers
Where are the relative extrema? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. There is a relative maximum at x =
There are no relative minima.
(Simplify your answer. Use a comma to separate answers as needed.)
B. There is a relative minimum at x =
and a relative maximum at x =
(Simplify your answers. Use a comma to separate answers as needed.)
C. There is a relative minimum at x =
There are no relative maxima.
(Simplify your answer. Use a comma to separate answers as needed.)
D. There are no relative extrema
