Calculus Problems

  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 --------------
  2. jcsd
  3. Tide

    Tide 3,136
    Science Advisor
    Homework Helper

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