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.
or 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.