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Math Help - Need help sketching

  1. #1
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    Need help sketching

    y = x(ln x)^3

    How do you sketch this? is there any asymptotes? intercepts? min/max value? Any help will be greatly appreciated!
    Last edited by proski117; April 2nd 2009 at 06:44 PM.
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  2. #2
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    Well, the graph of just y=ln(x) just keeps growing on for infinity, and so does the graph of y=x, so combining those two together, you can pretty much guarantee that the graph is going to still grow on to infinity.

    You also know that the ln(1) = 0, so the function will equal 0 at x=1.

    and because you can't take the ln of a negative number, you know there's a vertical asymptote at x=0
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  3. #3
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    Quote Originally Posted by proski117 View Post
    y = x(ln x)^3

    How do you sketch this? is there any asymptotes? intercepts? min/max value? Any help will be greatly appreciated!
    To find stationary points, solve \frac{dy}{dx} = 0 (I suggest using the product rule to get the derivative).
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