F (x) = (x + 2) (x + 3)

then f' (x) =

(2 (x+2) 3) / 3=18

Step-by-step explanation:

Since f (x) = (2x3) / 3, we see that f (x+2) = (2 (x+2) 3) / 3

(I simply replaced x by x+2 in the second equation).

Next, since f (x+2) = 18 by assumption, we can conclude that:

(2 (x+2) 3) / 3=18