Thread: 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!

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

Originally Posted by proski117

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 (I suggest using the product rule to get the derivative).