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Math Help - Finding local minimum values

  1. #1
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    Finding local minimum values

    I am given the function ln(x^4 + 27) I took the derivative I got (4x^3)/(x^4+27) I found the critical number which was 0. I made intervals of (-infinity,0) and (0,infinity)

    I found that the function was increasing on (0,infinty) and decreasing on (-infinty, 0) I found no local maxiumums. However I thought there would be a local minimum at x=0 but I'm wrong what is the local miniumum?
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  2. #2
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    Re: Finding local minimum values

    the function has no maximum, but an absolute minimum of y = \ln(27) at x = 0 ... an absolute minimum is also a local minimum.
    Thanks from neontiger94
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