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    Determine whether or not the equation x^2 + y + sin(xy)=0 can be written in the form
    y = f(x) or in the form x = g(y) in some small open disc about the origin for some
    suitable continuously differentiable functions f,g.

    Anyone know how to do this?
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    (Original post by CammieInfinity)
    Determine whether or not the equation x^2 + y + sin(xy)=0 can be written in the form
    y = f(x) or in the form x = g(y) in some small open disc about the origin for some
    suitable continuously differentiable functions f,g.

    Anyone know how to do this?
    I guess you need to use the Inverse Function theorem.

    [Edit: I think I misread the question: this looks more like the Implicit function theorem]
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    Yeah I knew it was the implicit function theorem - I just don't know how to do it
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    What is the exact definition (i.e. statement and conditions) you have for the implicit function theorem?
 
 
 
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