Given that for ,
(a) obtain an expression for f′ (x), 
(b) find the x-coordinate of the stationary point on the graph of f and determine whether this point is a maximum or a minimum. 
Now for the first part, I obtained a derivative of
through logarithmic differentiation. I think this is correct, but the problem I have is knowing what to do in the second part of the question. How would you go about finding the x-coordinate and how can you tell what kind of point it is?
Thanks again for your time and patience
It seems a very complicated function and I would find that enormously difficult to even attempt! Would you describe it as a lengthier process than the first, because both parts of the question are worth 4 marks each and the second part sounds like a higher volume of work
I plugged in x=1 as I recognised that ln 1 = 0 so thought that would automatically make the rest of it zero - but then I checked it and it did not mean this was the case, as it is only being subtracted from something else.
I'm struggling here but I hope I can learn how to answer it using your recommended method of second derivatives - I can only do this with basic/parametric equations but f'(x) in this question looks beyond my ability to differentiate a second time.
The question is on this past paper, just for you to get a bit of background:
http://www.wjec.co.uk/uploads/papers/w08-977-01.pdf it's the ninth and last question on the paper. I just have this feeling that I'm missing something completely obvious but I don't know what it is
Sorry if I have misunderstood again, it must be frustrating but I massively appreciate your help