(a) Find the critical numbers of the function f(x) = x(x 1)5. X = (smallest...

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(a) Find the critical numbers of the function f(x) = x°(x – 1)5. X = (smallest value) X = X = (largest value) (b) What does the Second Derivative Test tell you about the behavior of f at 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 (a) Find the critical numbers of the function f(x) = x°(x – 1)5. X = (smallest value) X = X = (largest value) (b) What does the Second Derivative Test tell you about the behavior of f at 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