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Math Help - Please explain this single step in the equation

  1. #1
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    Please explain this single step in the equation

    Differentiate xarctan√x
    f'(x)=x*1/(1+((√x))*(1/2)x^(-1/2)
    = √x/((2(1+x))+arctan√x

    My question is this...where did that specific term go? Why is it not in the denominator? I feel as though this is just something I'm not thinking of properly.
    Thanks!
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  2. #2
    Super Member Aryth's Avatar
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    I believe this will solve your problem:

    x*x^{-\frac{1}{2}} = x^{1 - \frac{1}{2}} = x^{\frac{1}{2}} = \sqrt{x}
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  3. #3
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    Ah, stupid error. Thank you!
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