The following function is provided.

()=^3−6^2+3

Find the critical number(s) of the function.

(Give your answer in the form of a comma‑separated list if needed. Give an exact answer. Use symbolic notation and fractions where needed.)

critical number(s):

Use the First Derivative Test to find any local extrema of .
(Give your answers in the form of a comma‑separated list if needed. Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if there are no local maximums or minimums.)

local maximum value(s):

local minimum value(s):