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Math Help - find the value of any relative extrema.

  1. #1
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    find the value of any relative extrema.

    f(x)=(lnx)^2, x>0

    On this particular problem i don't even know how to start so if you would assist me in starting this problem that would be awesome. just help me start and i'm sure i could probably figure out the rest
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  2. #2
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    start by finding f'(x) and looking for critical vales ...

    f'(x) = \frac{2\ln{x}}{x}

    2\ln{x} = 0

    x = 1

    for 0 < x < 1 , f'(x) < 0 ... f(x) is decreasing

    for x > 1, f'(x) > 0 ... f(x) is increasing

    so ... what sort of extrema at x = 1?
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