Product rule for 3 terms

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  1. arvin_infinity's Avatar
    1 02-06-2012  20:22
    • Peer Of The TSR Realm
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    Product rule for 3 terms
    Wondered if there is a way to do the product rule for 3 terms.




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    Last edited by arvin_infinity; 03-06-2012 at 00:46.
  2. TenOfThem's Avatar
    2 02-06-2012  20:24
    • TSR Royalty
    Re: Product rule for 3 terms
    Same as you do for 2 terms

    u'vw + uv'w + uvw'

    You can think of it as 2 terms

    (u'v + uv')w + (uv)w'
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  3. DFranklin's Avatar
    3 02-06-2012  21:12
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    Re: Product rule for 3 terms
    Product rule for n terms: The answer will be the sum of n products. You get the n products by differentiating the kth term (k = 1, ..., n) and leaving the rest alone.

    E.g. \dfrac{d}{dx} f_1(x)f_2(x)f_3(x) = f'_1(x)f_2(x)f_3(x) + f_1(x)f'_2(x)f_3(x)+f_1(x)f_2(x) f'_3(x)
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