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Math Help - Simplifying!!! Help!!!

  1. #1
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    Simplifying Help

    Okay so here's the background.

    g=(4pi^2/T^2)l

    The instructions are:
    Estimate the uncertainty in g using the uncertainty propagation for a general function. The specific formula you should obtain for delta g is:

    #1 Δg= g (sqrt(Δl/l)^2 + (2 ΔT/T)^2)

    The uncertainty equation is :

    #2 ΔF=(sqrt (partial derivative of x)^2( Δx)^2 + (partial derivative of y)^2( Δy)^2)

    So basically, make equation #2 look like #1, and solve for delta g.

    So the question is, how do I simplify equation #2 to look like equation #1.

    F=g , x=l, and y=T is those equations.


    Last edited by J-NCF; August 28th 2009 at 01:15 PM.
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  2. #2
    MHF Contributor

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    What did you get for the partial derivatives of g with respect to x and y?
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  3. #3
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    Partial derivative

    The partial derivative of x (l in the equation of g) is 4pi^2/T^2
    the partial derivative of y (T in the g equation) is -8pi^2l/T^3
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