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Help with a Derivative

  1. Jul 2, 2012 #1
    1. The problem statement, all variables and given/known data
    I need to find the derivative of y = (3e^x) + [4 / x^(1 / 3)].


    2. Relevant equations
    My book lists the answer as y' = (3e^x) - (4 / 3)x^-(4 / 3).

    Is the book incorrect, or is there something more I can do to the problem to get the book's correct answer? Please tell me exactly what it is they do to get the aforementioned answer.

    ^ see my answer below.


    3. The attempt at a solution
    I found y' = [(9e^x)(x^(3 / 4)) - 4] / [3x^(3 / 4)]. The same way it's been found here:
    http://www.wolframalpha.com/input/?i=derivative+y+=+3e^x+++(4+/+x^(1+/+3))
     
  2. jcsd
  3. Jul 2, 2012 #2

    LCKurtz

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    It might help you to simplify the original problem to this before you differentiate$$
    y = 3e^x +4 x^{-\frac 1 3}$$
     
  4. Jul 2, 2012 #3
    Thanks. I understand now.
     
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