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Math Help - Further Simplifying A Derivative

  1. #1
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    Further Simplifying A Derivative

    I had this orignial problem

    \frac{kx}{(x^2+r^2)^\frac{3}{2}}


    I had to take the derivative with r being a constant and k constant


    I arrived at this unsimplified derivative


    \frac{k}{(x^2+r^2)^\frac{3}{2}}-\frac{3}{2}*\frac{kx(2x)}{(x^2+r^2)^\frac{5}{2}}


    I know there is a further way to simplify this as I see it in the solution manual but I want to learn how to instead of just seeing and copying


    I know who have to find a common denom. however I dont recall doing functions with fractional powers or whatever you may call it.
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  2. #2
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    Quote Originally Posted by sk8erboyla2004 View Post
    I had this orignial problem

    \frac{kx}{(x^2+r^2)^\frac{3}{2}}


    I had to take the derivative with r being a constant and k constant


    I arrived at this unsimplified derivative


    \frac{k}{(x^2+r^2)^\frac{3}{2}}-\frac{3}{2}*\frac{kx(2x)}{(x^2+r^2)^\frac{5}{2}}


    I know there is a further way to simplify this as I see it in the solution manual but I want to learn how to instead of just seeing and copying


    I know who have to find a common denom. however I dont recall doing functions with fractional powers or whatever you may call it.
    Multiply the numerator and denominator of the first term by (x^2 + r^2).
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