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Math Help - all relative extrema

  1. #1
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    Question all relative extrema

    Find all relative extrema of f(x) = (x^2 + 4)/ x. use the second derivative test.

    f '(x)= (x^2 - 4)/x^2
    f ''(x)= -8x/x^4

    x=0

    I don't know what to do from here, how do I find the relative extrema?
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  2. #2
    MHF Contributor
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    The same way I described in your other thread. Find critical points, draw a number line, test regions in between critical points and decide if a sign change occurs.
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