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Homework Help: Calculus Problems

  1. Sep 9, 2004 #1
    If you can work this out please try and reply to it before friday the 10th!!!



    #1: If f is a differentiable function and g(x) = xf(x), use the
    definition of a derivative to show that g'(x)(g prime of x) =
    xf'(x)+f(x)(xf prime of x plus f of x).

    Definition of a Derivative:

    The Derivative of a function f at a number a, denoted by
    f'(a) (f prime of a), is:

    Lim f(a + h) - f(a)
    x -> 0 --------------
    h​
     
  2. jcsd
  3. Sep 9, 2004 #2

    Tide

    User Avatar
    Science Advisor
    Homework Helper

    Apply the definition directly to g(x).
     
  4. Sep 14, 2004 #3
    Thanks a lot, I found/got the right answer
     
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