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Find the 46th derivative

  1. Oct 20, 2015 #1
    1. The problem statement, all variables and given/known data
    If f(x) =(x^46 + x^45 + 2)/(x + 1)
    , calculate f(46)(3), the forty-sixth derivative of f(x) at x = 3. Express
    your answer using factorial notation: n! = n (n 1) (n 2) 3 2 1.

    2. Relevant equations
    Quotient rule

    3. The attempt at a solution
    I have tried trying to find a pattern, I'm on the third derivative and it seems really complicated.
     
  2. jcsd
  3. Oct 20, 2015 #2

    Mark44

    Staff: Mentor

    Have you thought about doing the division before taking the derivative? I don't think that starting off with the quotient rule is the way to go.
     
  4. Oct 20, 2015 #3
    So I get x^45+0, would I just take the 46 derivative of this(which would be 0)?
     
  5. Oct 20, 2015 #4

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Check your arithmetic. That quotient doesn't equal ##x^{45}##.
     
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