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    Invertible Functions and Local Inverses

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    See the attached function and answer the following questions:
    (a) Is f invertible?
    (b) In which points does f have a local inverse?
    (c) Determine the derivative of the local inverse at f((-1,1)) and f((1,-1))

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    Solution Summary

    The solution gives details on determining if a function is invertible and has a local inverse and finding the derivative of local inverse at given points.