Calculus

Discussion in 'General Math' started by null, Nov 3, 2003.

  1. null

    null Guest

    In my AP calc class, my teacher told me to find the f'(x), then f''(x), then
    f'''(x), and so on. I would know how to do f'(x), but after that, I'm
    mysted.

    with all the axn(n-1)(n-1)(n-1)^(n-n), whatever, he told me the answer to
    that would be (e.g.) 5!

    Now I never heard of a number with a ! symbol after it. Can anyone explain
    or link me to somewhere?
     
    null, Nov 3, 2003
    #1
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  2. Ok, you know how to find f'(x). Now take the derivitive of that, and
    you'll have f''(x). Take the derivitive of THAT, and you'll have
    f'''(x). And so on..

    n! is n factorial, which means n * (n-1) * (n-2) ... * 3 * 2 * 1, with
    0! defined to be 1. So 0!=1, 1!=1, 2!=2, 3!=6, 4!=24, etc.
     
    William Springer, Nov 3, 2003
    #2
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  3. null

    Nat Silver Guest

    If y = x^5, then y' = 5x^4, y'' = 5*4x^3, y''' = 5*4*3x^2,
    y'''' = 5*4*3*2*x and y'''''= 5*4*3*2*1 = 5! (by definition of factorial).

    See the reference below:

    http://mathworld.wolfram.com/Factorial.html
     
    Nat Silver, Nov 3, 2003
    #3
  4. That is the factorial symbol. It means you multiply by all the integers
    below it, ex.

    5!=5x4x3x2x1=120
    6!=6x5x4x3x2x1=6x5!=720

    Hope this helps.

    Thomas
     
    Thomas Ostergard, Nov 15, 2003
    #4
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