For the questions below, consider the following function.
f (x) = 3x^4 - 8x^3 + 6x^2
(a) Find the critical point(s) of f.
(b) Determine the intervals on which f is increasing or decreasing.
(c) Determine the intervals on which f is concave up or concave down.
(d) Determine whether each critical point is a local maximum, a local minimum, or neither.
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