Question

(a) Find the critical numbers of the function f(x) = x6(x − 1)5. x = (smallest value) x = ...

(a) Find the critical numbers of the function f(x) = x6(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 that the Second Derivative test does not? (Enter your answers from smallest to largest x value.)

At x =  , the function has a local maximum

At x =  , the function has neither a minimum nor a maximum

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