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# Continuously differentiable functions Watch

1. 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?
2. (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]
3. Yeah I knew it was the implicit function theorem - I just don't know how to do it
4. What is the exact definition (i.e. statement and conditions) you have for the implicit function theorem?

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