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Math Help - differentiate the cumulative Weibull equation

  1. #1
    Newbie angusmdmclean's Avatar
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    differentiate the cumulative Weibull equation

    Cumulative WEibull equation is;



    y= e(-(x/a)^b)
    please can I be advised on the first derivative

    i.e. dy/dx =



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  2. #2
    ADY
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    Last edited by ADY; January 28th 2010 at 11:01 AM. Reason: error
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  3. #3
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    Quote Originally Posted by angusmdmclean View Post
    Cumulative WEibull equation is;



    y= e(-(x/a)^b)
    please can I be advised on the first derivative

    i.e. dy/dx =


    \frac{d}{dx} e^u = e^u \cdot \frac{du}{dx} where

    u = -\left(\frac{x}{a}\right)^b
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  4. #4
    Newbie angusmdmclean's Avatar
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    WEibull

    I agree it is a fuction of a function but plee tell me tell me me what is the first derivative of the below equation i.e. du/dx



    du/dt =
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  5. #5
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    Quote Originally Posted by angusmdmclean View Post
    I agree it is a fuction of a function but plee tell me tell me me what is the first derivative of the below equation i.e. du/dx



    du/dt =
    chain rule ...

    \frac{du}{dx} = -b\left(\frac{x}{a}\right)^{b-1} \cdot \frac{1}{a}
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  6. #6
    Newbie angusmdmclean's Avatar
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    Weibull function

    BRILLIANT! THIS AGREES WITH WHAT I have seen published, but I COULD NOT RATIONALIZE IT. I HAVE FORGOTTON MY CALCULUS. My plan is to enter the Weibull equation (in the differenial form) into a program that has a diffeerential equation solver. I have data and I want the porgram to solve by best fitting the data.

    I may have to enter the WEibill as 2 diff. equations.
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