For each of the following functions, find the intervals of increase and decrease. Then identify the x-values of all points that are local maximums or minimums.
\(f(x) = 2x^3 - 3x^2 - 12x\)
\(g(x) = \displaystyle \frac{1}{x^3} - \frac{3}{x}\)
\(f(\theta) = \theta + \cos \theta\) for \(0 \le \theta \le 2\pi\)
\(h(x) = (x^2-4)^3\)
\(y = x^{1/3}(x+2)\)
\(f(x) = \displaystyle \frac{x}{x^2+9}\)