6. Given f (x) = 213 - 3x2 - 36x find: (a) the critical value(s) of f. (b) the interval(s) where f(x) is increasing; (c) the interval(s) where f(x) is decreasing; (d) the local maxima and minima. 6. Given g(x) = -24 + 12x3 - 12x + 24 find: (a) the interval(s) where g(x) is concave upward; (b) the interval(s) where g(x) is concave downward; (c) the inflection point(s); 7.. Find the absolute extrema of f(x) = x4 - 4x3 + 5 on the interval [- 8. Evaluate the following; answers must be accurate to 3 decimals: (a) S_ 2(2+23)-2 dac