B) what does the second derivative test tell you about the behavior of f at these critical numbers?C) what does the first derivative test tell you?

(a) Find the critical numbers of the function f(x) = x(x - 3)5. X 0 (smallest value) X = 18/11 X = 3 (largest value) (b) What does the Second Derivative Test tell you about the behavior of fat these critical numbers? At X = , the function has a local minimum (c) What does the First Derivative Test tell you? (Enter your answers from smallest to largest x value.) At x = the function has a local maximum At X = the function has a local minimum At X = the function has neither a minimum nor a maximum v