(10 points) Suppose that f(x) = 3x2 1n(x), x > 0. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. e'\(1/2) (B) Use interval notation to indicate where f (x) is increasing. Note: Use 'INF' for 00, '|NF' for 0, and use 'U' for the union symbol. If there is no interval, enter 'NONE'. Increasing: (eA(1/2),inf) (C) Use interval notation to indicate where f (x) is decreasing. Decreasing: (0,eA(1/2)) (D) List the X values of all local maxima of f(x). If there are no local maxima, enter 'NONE'. x values of local maximums = none (E) List the x values of all local minima of f(x). If there are no local minima, enter 'NONE'. x values of local minimums = eA(_1/2) (F) Use interval notation to indicate where f (x) is concave up. Concave up: (e"(3/2),in'f) (G) Use interval notation to indicate where f (x) is concave down. Concave down: (H) List the x values of all the inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = e"(3/2) (I) Use all of the preceding information to sketch a graph of f. Include all vertical and/or horizontal asymptotes. When you're finished, enter a "1" in the box below. Graph complete: 1 (10 points) Find all numbers 0 that satisfy the conclusion of Rolle's Theorem for the following function and interval. Enter the values in increasing order and enter N in any blanks you don't need to use. f(x) = 7 sin(2n:x),[1,1]