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Thread: of first and second derivative tests

  1. Nov 21st, 2002, 11:12 PM #1
    siyan
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    of first and second derivative tests

    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
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  2. Nov 22nd, 2002, 12:16 AM #2
    Sastraxi
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    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
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  3. Nov 22nd, 2002, 10:10 AM #3
    siyan
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    not quite...oh well. whoever posts a solution gets owned anyways
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  4. Nov 22nd, 2002, 06:31 PM #4
    bugzpodder
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    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.
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    The probability that a random rational number has an even denominator is 1/3 (Salamin and Gosper 1972)? This result is independently verified by me (2002)!
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  6. Nov 23rd, 2002, 06:41 PM #5
    siyan
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    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.
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