1. Consider the function, f(x) = 2x3 - 6x2 - 18x +1(a) Find the critical numbers of the function.(b) Use a labeled sign chart to find the intervals where the function is increasing/decreasing.(c) Use the First Derivative Test to find the relative extrema.(d) Use another labeled sign chart to find the intervals where the function is concave up/down.(e) Find any inflection points.2.

1. Find the absolute maximum and absolute minimum values of the given function on the given interval. f (x) = sin (2x) - 2 sin x, - , ]