Let f(x) = x4(x - 2).(a) Find the critical numbers of the function f. (Enter...

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Let f(x) = x4(x - 2).(a) Find the critical numbers of the function f. (Enter your answers from smallest to largest.)smallest valuelargest value(b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers?At x? the second derivative testAt x? the second derivative testAt x3 the second derivative test(c) What does the First Derivative Test tells you that Second Derivative Test does not.At x1 the first derivative testAt x? the first derivative test At x3 the first derivative test

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