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Math Help - Need help solving derivatives

  1. #1
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    Need help solving derivatives

    I am giving up on these funcitons. If anyone can post a step-by-step visual aid on how to get the derivatives for these two suckers that would be great.
    1) sqrt(x)-cubrt(x)
    2)3x/(x^2+4)
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  2. #2
    Master Of Puppets
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    Re: Need help solving derivatives

    Hi AFireInside,

    Don't give up just yet. I can help.

    Quote Originally Posted by AFireInside View Post
    1) sqrt(x)-cubrt(x)
    \displaystyle \sqrt{x}-\sqrt[3]{x} = x^{\frac{1}{2}}- x^{\frac{1}{3}}

    Now apply the power rule \displaystyle f(x)= x^n \implies f'(x) = nx^{n-1}

    Quote Originally Posted by AFireInside View Post

    2)3x/(x^2+4)
    With this one try

    \displaystyle y = \frac{f(x)}{g(x)}\implies y' = \frac{g(x)\times f'(x)-f(x)\times g'(x)}{g(x)^2}
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