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Math Help - Derivative Simplifying

  1. #1
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    Derivative Simplifying

    I took the derivative of

    x^(2/3) * (x-5)

    and so far I have



    my answer is circled, but the "correct answer" is the one under it. How do I get it to that? Can't figure out the simplification
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  2. #2
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    \displaystyle \frac{5x^{\frac{2}{3}}}{3} - \frac{10}{3x^{\frac{1}{3}}}<br />

    common denominator is 3x^{\frac{1}{3}} ...

    \displaystyle \frac{5x^{\frac{2}{3}} \cdot x^{\frac{1}{3}}}{3x^{\frac{1}{3}}} - \frac{10}{3x^{\frac{1}{3}}}

    \displaystyle \frac{5x-10}{3x^{\frac{1}{3}}}
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