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Fitting a function in mathematica

  1. May 22, 2012 #1
    Say I have a function:

    f(x,y)

    I have values for f and y such that I can make a plot of f vs y... however, from the values of f and y, I am interested in finding what x is. The x value should be a constant that is optimized to fit the f vs y graph.

    Is there a way I can do this in mathematica?

    Thank you for any advice!
     
  2. jcsd
  3. May 24, 2012 #2
    Okay, I'm a bit confused by your problem.

    you mean, taking a specific example, for instance [itex]f(x,y)=(xy)^3[/itex]? Then, if you know for instance f(x,y)=14 and y=pi/2, that x should be [itex]\frac{14^{1/3}}{pi/2}[/itex]. Using that you can then see that [itex]f(x,y)=f(y)=(\frac{14^{1/3}}{pi/2} y)^3[/itex]. Trying the mathematica functions Solve and Plot should get you on your way.
     
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