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Math Help - Third derivative

  1. #1
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    Third derivative

    I need to find the third derivative of 16 squareroot x at 4

    I've gotten to the first derivative which I think equals 16/2 square root x?
    I used product rule to get this and I'm assuming that I need to keep using product rule and not chain rule?

    Thanks
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  2. #2
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    Quote Originally Posted by johnf124 View Post
    I need to find the third derivative of 16 squareroot x at 4

    I've gotten to the first derivative which I think equals 16/2 square root x?
    I used product rule to get this and I'm assuming that I need to keep using product rule and not chain rule?

    Thanks
    power rule the whole way ...

    y = 16x^{\frac{1}{2}}

    y' = 8x^{-\frac{1}{2}}

    y'' = -4x^{-\frac{3}{2}}

    y''' = 6x^{-\frac{5}{2}}
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