11. [0.24/0.33 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.3.032. Let f(x) = x(x-1). (a) Find the critical numbers of the function f. (Enter your answers from smallest to largest.) smallest value X1 largest value (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? At x, the second derivative test [is inconclusive At At X2 the second derivative test indicates a local minimum At x3 the second derivative test [is inconclusive (c) What does the First Derivative Test tell you? Note what the First Derivative Test tells you that Second Derivative Test does not. At x, the first derivative test indicates a local maximum At x2 the first derivative test indicates a local minimum At X3 the first derivative test indicates neither a minimum nor a maximum