Would really appreciate the help !!! Part a and b

la. Sketch the graph of f(x) = (x - 1)3(x - 2)3(x - 3) and find the following if they exist (if it does not exist, write DNE). a. relative maximum b. relative minimum exists c. inflection point(s) d. interval(s) where f is concave down e. intervals where f is increasing f. intervals where f is decreasing f'(2) = 14V (x-1)4 (x -2)2(x - 1.6)(x - 2.8) 3Vx - 3 f" (I ) = ~ 154vx -1(x - 1.3) (x - 1.8) (x - 2.5) (x - 3.1) 9Vx - 2. (x-3)4 1b. Sketch the graph of f (x) = (x - 1)3 (x - 2)3 and find the following if they exist (if it does not exist, write DNE). You may use that f'(x) = Vx - 1(5x - 9) f" ( 20 ) ~ 10(x - 1.3) (x - 2.3) 33 (2 - 2)2 9V(x - 1)2 . (x - 2)5