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Math Help - relative extrema

  1. #1
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    relative extrema

    Y= 6x^3-x^4

    I need to find where the intervals are increasing and decreasing and also the relative max and min. I know I have to find the derivative first which is Y'= 18x^2-4x^3. I need to set this equal to zero to find the critical values, but I'm having a little trouble here. If anyone can help I would appreciate it!!!!!! Thanks!
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  2. #2
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    18x^2-4x^3=2x^2(9-2x)=0

    So you have either x=0 or 9-2x=0
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  3. #3
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    so my critical values are zero and -9/2 ???
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