Something really strange happened to my derive assignment when I went to print it out.  For part B some of the functions have an unsually character setting, and I have no idea why it happend and how to fix it.  I looked at it for a bit and it seems like it used ¹ to denote  and  to denote (  its really wierd and I was wondering if you know how or why it happened. I will have it on monday if you would like to look at it.

I keep getting the same problems Anna was with respect to rediculously long answers when attempting "interesting" functions using cube roots and trigonomic functions. Mind if we just pick any two functions?

Drew

Your second function doesn't have to be terribly exotic.  If you pick a power of a sine function added to a polynomial then you will have infinitely many extrema because the power of the sine function will oscillate along the polynomial.  You could use a function like this but you would then want to limit your attention to the extrema near the origin.  Why don't you look at an algebraic function that will have some fractional powers along with some integer powers.  If your fractional powers have only positive odd roots then your functiuon will be defined on the entire real line.

My intention with you choosing an interesting function for part b is for you to use the tools of calculus with a powerful piece of saftware to gain insight into the appearance and behaviour that you wouldn't have been able to get otherwise.

Even something like the example, (that I never had a chance to investigate last class),  y = 10x / ( x² + 1) would be fine. 

                    --CFW

Did you save it in derive format?  I know that I tried to put a derive  document on the site as a pdf file and much of it came out in greek letters.

If you saved it as a derive file and then went to another machine that did not have derive on it then rather than saying that it could not read it it might print it out but have a lot of the characters messed up.

Beyonf that I don't have any answers.  Maybe someone else in the class has had a similar problem and and give us some insight.

               --CFW