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    Intervals of increase/ decrease

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    Over which interval is f(x) = x^3 - 12x^2 + 36x + 1 decreasing?

    © BrainMass Inc. brainmass.com March 4, 2021, 7:46 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/intervals-increase-decrease-121949

    Solution Preview

    See the attached file.
    We set y' = 3x^2 - 24x + 36 = 0 and solve for x
    3x^2 - 24x + 36 = 0
    implies that x^2 - 8x + 12 = ...

    Solution Summary

    A function can be increasing or decreasing in an interval. To ascertain the intervals of increase or decrease the derivative test is used as illustrated in this problem.

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