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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an...

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

f(x) = x3e−7x

Find the absolute maximum and absolute minimum values of f on the given interval.

f(x) = x3 − 6x2 + 9x + 6,    [−1, 4]

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