Given f (x) = 3x2 - 1 .f'(x) = 3 (x2 - 1) 6 (x² - 2) and f"(x) = %3D %3D x3 x4 (a) Determine the intervals where f is increasing, decreasing, and find the point(s) of relative extrema, if any. (b)...

Extracted text: Given f (x) = 3x2 - 1 .f'(x) = 3 (x2 - 1) 6 (x² - 2) and f"(x) = %3D %3D x3 x4 (a) Determine the intervals where f is increasing, decreasing, and find the point(s) of relative extrema, if any. (b) Determine the intervals where f is concave up, concave down, and find the inflection point(s), if any.