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Derivative Help: differentiate using product rule

  1. Mar 17, 2013 #1
    1. The problem statement, all variables and given/known data

    (1-2x3+x2)((1/x3)+1)

    2. Relevant equations

    f'g(x)+g'f(x)
    f'(x)=-6x3+2x
    g'(x)=(-1/x4)

    3. The attempt at a solution

    I found what i believe to be the derivative of both f(x) & g(x) and used the product rule to get to where I am stuck right now:

    [(-6x2+2x)(1/x3)]+[(-1/x4)(1-2x3+x2)
     
    Last edited: Mar 17, 2013
  2. jcsd
  3. Mar 17, 2013 #2

    Fredrik

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    Staff Emeritus
    Science Advisor
    Gold Member

    Your result for g'(x) is wrong, assuming that g(x)=1/x3+1. Your f'(x)g(x) is wrong too.
     
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