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Math Help - relative minimum

  1. #1
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    relative minimum

    For what value(s) of x does 4x^6 - 8x^3 + 18 have a relative minimum?
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    Hello,

    Let X be x^3, then you can go back to a polynomial of second degree, which you can derivate easily and find the value that annulates it.

    ->4X^2-8X+18

    Derivative : 8X-8
    Annulates in X=1 (negative then positive -> the initial function decreases first then increases -> it's a minimum)
    <=> x^3=1
    <=> x=1
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