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Math Help - Length of a curve

  1. #1
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    Length of a curve

    Hi, I need calculate the length of a curve. Could someone help me please?




    Formula:

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  2. #2
    A Plied Mathematician
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    Well, what have you tried so far?
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  3. #3
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    I can not derivative and exponentiate: (
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  4. #4
    A Plied Mathematician
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    You can't differentiate your function? Differentiation is like an onion: you have to peel back the layers, in inverse order in which you would compute. Let's say you take your function

    f(x)=\dfrac{1}{3}(x-3)\sqrt{x},

    and you want to find f(3). List all the computations you must do, in order, in order to find this value.
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  5. #5
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    Thatīs right?

    derivate:



    exponentiation:

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  6. #6
    A Plied Mathematician
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    No, I'm afraid your differentiation is incorrect. What differentiation rule do you have to use here?
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  7. #7
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    Try writing y= \frac{1}{3}(x- 3}\sqrt{x}) as y= \frac{1}{3}(x- 3)x^{1/2}= \frac{1}{3}x^{3/2}- \frac{1}{3}x^{1/2}.
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