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Math Help - derivative using quotient rule

  1. #1
    Junior Member
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    derivative using quotient rule

    how do i know if a derivative when solved using the quotient rule will need to be simplified or not by factoring out a variable (i probably worded this wrong)
    example
    ---------------

    f'(x) = (x^3+5x+3)/(x-1)

    how do i know if while im solving this if i will need to factor something out?
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  2. #2
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    Your function here cannot evenly factor.

    \frac{x^3+5x+3}{x^2-1} = \frac{x^3+5x+3}{(x-1)(x+1)}

    The numerator does not have any similar factors to the denominator.
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