I have three cuve sketching questions. It's something I'm getting better at but each one of these three questions has something which I cannot figure out.

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http://img104.imageshack.us/img104/5928/61711sn1.png if you can't see the image

For the 3rd one, fully analyzing means find critical points, interval of increase and decrease, local max and min, intercepts, symmetry, inflection points/concavity, and sketch the graph. There are a few other things but I know how to do those. Just those ones are hard if you can't figure out the function.

Here's my attempt at solution:

For the first one, 6, I know that you have to find y prime but it involves implicit differentiation and curve analysis which is throwing me off.

For the second one, I know that there aren't any global maxima but I can't find the local maxima either. I also can't factor the original question and can't figure out the intercepts which is making the rest of the "fully analyze" part hard.

For the third one, I can't figure out the maxima's probably because it's in radical form which is also giving me problems with the inflection points.

-Thanks