Let f(x) = x?(x - 1).(a) Find the critical numbers of the function f. (Enter...
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Calculus
Let f(x) = x?(x - 1).(a) Find the critical numbers of the function f. (Enter your answers from smallest to largest.)smallest value x?=x?=largest value x?=(b) What does the Second Derivative Test tell you about the behavior of fat these critical numbers?At x? the second derivative test [ is inconclusive]At x? the second derivative test [indicates a local minimum]At x? 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 x? the first derivative test [indicates a local minimum]At x? the first derivative test [indicates neither a minimum nor a maximum]
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