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    Finding Maximum and Minimum Values

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    Questions:
    A) Find all critical points of f(x)=x^5+5x^4-35x^3 and classify each as a relative minimum, relative maximum or neither one.
    B) Find the absolute maximum and minimum values of f(x)=2x^4-16x^3-32x^2 on the interval [-3,2].

    © BrainMass Inc. brainmass.com October 10, 2019, 5:45 am ad1c9bdddf
    https://brainmass.com/math/optimization/finding-maximum-minimum-values-516402

    Solution Preview

    A) Find all critical points of f(x)=x^5+5x^4-35x^3 and classify each as a relative minimum, relative maximum or neither one.
    Solution. As , there are three critical numbers: x=0, x=-7 and x=3.
    To classify them, we find ...

    Solution Summary

    The expert finds the maximum and minimum values.

    $2.19