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Our current unit in calculus involves a lot of curve sketching of rational functions (a PITA if you ask me).
Part of this process involves us doing derivative tests to find the intervals of increase/decrease (1st deriv) and concavity (2nd deriv)
I'm wondering if there is a way to easily predict the positive/negative intervals of a (rational) derivative function in every case?
I'm getting tired of sticking the function in my calculator and finding values...
-C
Could this help? I just stuck some of your words in Google for now, I'm in a rush, so here you are:
http://www.math.utah.edu/online/1210...rivatives.html
not quite...oh well. whoever posts a solution gets owned anyways
my best suggestion is stick with what you are taught in class. if you want some help with examples, put one up and be sure to include your solutions.
i don't like sticking ot hte class' teachings. its so lame. all they teach is HOW to do things, not WHY it works. pretty much everyone in that class save maybe 3 people should be replaced by computers: faster, cheaper, more accurate.