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Math Help - Derivative problem

  1. #1
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    Derivative problem

    I am trying to use the quotient rule to solve the following problem.

    (x^3-5xsqrtx)/x

    I know that:
    ((f`)(g)-(f)(g`))/g^2 is what I am looking for and this is what I got but it is wrong.

    [(3x^2-(5)(1/2sqrtx)(x)-(x^3-5xsqrtx)(1))]/(x^2)

    Any help?
    Thanks
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  2. #2
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    Quote Originally Posted by juventinoalex View Post
    I am trying to use the quotient rule to solve the following problem.

    (x^3-5xsqrtx)/x

    I know that:
    ((f`)(g)-(f)(g`))/g^2 is what I am looking for and this is what I got but it is wrong.

    [(3x^2-(5)(1/2sqrtx)(x)-(x^3-5xsqrtx)(1))]/(x^2)

    Any help?
    Thanks
    The derivative of 5x \sqrt{x} is not what you have stated it to be. Note that 5x \sqrt{x} = 5 x^{3/2} ....
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  3. #3
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    OK so now I have (3x^2-(5x^(3/2))(x)-(x^3-5xsqrtx)(1))/(x^2) but that is still wrong. Do you have any other suggestions? Thanks
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  4. #4
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    Quote Originally Posted by juventinoalex View Post
    OK so now I have (3x^2-(5x^(3/2))(x)-(x^3-5xsqrtx)(1))/(x^2) but that is still wrong. Do you have any other suggestions? Thanks
    Yes, differentiate 5x^(3/2).
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