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Homework Help: Implicit Function Theorem

  1. Apr 10, 2012 #1
    Let F(x, y) = f(y − x + g(y + x)), where f(u) and g(u) are sufficiently
    differentiable functions of a single real variable. If, in a neighbourhood of
    (x, y) = (a, b), the equation F(x, y) = 0 defines a function y(x), state the
    condition(s) on f and g so that y′(x) exists in a neighbourhood of x = a.

    2. Relevant equations

    I've done all that maths part after this question, but I'm not sure how to define it. It uses the implicit function theorem.

    3. The attempt at a solution
  2. jcsd
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