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The Product Rule

  1. Feb 19, 2013 #1
    1. The problem statement, all variables and given/known data
    If f(2) = 3, f'(2) = 5, g(2) = -1, g'(2) = -4, find (fg)'(2).


    2. Relevant equations
    if F(x) = f(x)g(x)
    F'(x) = f'(x)g(x) + g'(x)f(x)

    3. The attempt at a solution
    I have no idea how to attempt his question :(
     
  2. jcsd
  3. Feb 19, 2013 #2

    eumyang

    User Avatar
    Homework Helper

    So you know the product rule:
    (fg)'(x) = f'(x)g(x) + g'(x)f(x)

    You want to find (fg)'(2), which equals...
    (fg)'(2) = f'(2)g(2) + g'(2)f(2)

    You can figure out the rest.
     
  4. Feb 19, 2013 #3

    jedishrfu

    Staff: Mentor

    you've got the answer right in front of you they are asking F' ' (2) = (fg) ' (2) so what is (fg)' ?
     
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