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Math Help - differentiating function

  1. #1
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    differentiating function

    Im stuck on this problem:

    Differentiate the following function.


    Heres what i did:

    used sum rule, found the derivatives of the above terms.

    for the 1st one i got square root of 7

    the 2nd i got .75u^-.5

    so sqrt[7]+.75u^-.5

    thanks.
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  2. #2
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    Quote Originally Posted by Evan.Kimia View Post
    Im stuck on this problem:

    Differentiate the following function.


    Heres what i did:

    used sum rule, found the derivatives of the above terms.

    for the 1st one i got square root of 7

    the 2nd i got .75u^-.5

    so sqrt[7]+.75u^-.5

    thanks.
    You need to use the chain rule since the function \sqrt{3u} is a composite function. The derivative should be \frac{1}{3}(3u)^{\frac{-2}{3}}(3)=(3u)^{\frac{-2}{3}}

    So the derivative of g(u) is just g'(u)=\sqrt{7}+(3u)^{\frac{-2}{3}}. You can simplify the second term to the cubed root of the square of 3u.
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