Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. f(x) = x³-12x-8 (A) f'(x) = 3x² - 12 (B)

Question

Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f.
f(x) = x³-12x-8
(A) f'(x) = 3x² - 12
(B) Find the partition numbers for f'. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The partition number(s) is/are x = 2,-2.
(Use a comma to separate answers as needed.)
B. There are no partition numbers.
(C) Find the critical numbers for f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The critical number(s) is/are x =
(Use a comma to separate answers as needed.)
B. There are no critical numbers.

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