sketch the curve for f(x) =(lnx)^2/x , x >0?

G

glassy

New member
The question is:

Sketch the curve for f(x) =(lnx)^2/x , x >0

I've done 1 & 2 but stuck at 3 and onwards. Please help. I've got no clue how to continue.


1. find f'(x)
2. find f"(x)
3.find the local maxima and minima of f(x)
4. find all inflection points of f(x)
5. state the domain of f(x) and find any vertical and horizontal asymptotes
6. sketch the graph



For 1, i got 2lnx-(lnx)^2/x^2
For 2. i got 2(1-3lnx+(lnx)^2)/x^3
For 3, once i've put f'(x) = 0 i dont know how to get values for x & likewise for f"(x) = 0 (number 4).


Thanks
 
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