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    Differentiability of functions

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    Discuss the differentiability of each of the following functions at all real numbers and find its derivative at those real numbers at which it is differentiable. See attached file for full problem description.

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    Solution Preview

    Please see the attached file.

    Problem #1
    (a) When , . . Then the domain of is . When , is differentiable because is a composition of elementary differentiable ...

    Solution Summary

    This shows how to discuss the differentiability of given functions.