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Measuring error analysis with 3 variables

  1. Aug 21, 2012 #1
    1. The problem statement, all variables and given/known data
    Consider the function F(xyz)=x^4+5y^4+2yz+3. Let the uncertainty in x be represented by the variable dx, the uncertainty in y be represented by the variable dy, and the uncertainty in z be represented by the variable dz.
    Find an algebraic expression for the uncertainty in the function due to the uncertainty in x


    2. Relevant equations

    Δfx(x,y,z)=f(x+Δx,y,z)−f(x,y,z)

    3. The attempt at a solution

    ΔFx = [((x+dx)^4)+(5*(y^4))+(2*y*z)+3]-[(x^4)+(5*(y^4))+(2*y*z)+3]
    I simply added dx to the variable x although this is not correct
     
  2. jcsd
  3. Aug 21, 2012 #2

    Simon Bridge

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    In what way is this not correct?
     
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