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Math Help - more derivatives

  1. #1
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    more derivatives

    (1 pt) If , find .

    =(3x^(3)-6)x^-4 = 3x^(-1)-6

    f ' (x) = -3/x^2

    If
    find .

    f ' (x) = (12x+2)/(2x^(3/2))

    whats the error?
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  2. #2
    Super Member General's Avatar
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    Quote Originally Posted by wannous View Post
    (1 pt) If , find .

    =(3x^(3)-6)x^-4 = 3x^(-1)-6

    f ' (x) = -3/x^2





    If




    find .

    f ' (x) = (12x+2)/(2x^(3/2))

    whats the error?
    we should see your work to determine if it correct or wrong.
    Try to simplify the function first; to make the differentiation step easier.
    1- \frac{3x^3-6}{x^4}=\frac{3}{x}-\frac{6}{x^4}=3x^{-1}-6x^{-4}.

    2- \frac{4x^2+2x+2}{\sqrt{x}}=4x^{\frac{3}{2}}+2\sqrt  {x}+2x^{-\frac{1}{2}}.
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  3. #3
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    Quote Originally Posted by wannous View Post
    (1 pt) If , find .

    =(3x^(3)-6)x^-4 = 3x^(-1)-6

    f ' (x) = -3/x^2


    If

    find .



    f ' (x) = (12x+2)/(2x^(3/2))

    whats the error?
    (3x^3-5)x^{-4}=3x^{-1}-6x^{-4}

    (4x^2+2x+2)x^{-\frac{1}{2}}=4x^{\frac{3}{2}}+2x^{\frac{1}{2}}+2x^  {-\frac{1}{2}}

    Sorry, I didn't see your post, General.
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  4. #4
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    thank a lot i got both of them now
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