SOLUTION: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x^3 − 18x^2 − 54x + 1, [−2, 4]

SOLUTION: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x^3 − 18x^2 − 54x + 1, [−2, 4]

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Question 1086873: Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = 6x^3 − 18x^2 − 54x + 1,
[−2, 4]
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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Take the derivative and set it equal to each other to find extrema,

Two solutions:

and

Take the second derivative to find which is which,

At , so the maximum occurs here.
At , so the minimum occurs here.

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