Question: a) Find an example of a function f : R R that is differentiable at only one point, and prove that your example is correct.

a) Find an example of a function f : R R that is differentiable at only one point, and prove that your example is correct.

b) ind an example of a function f : R R that is differentiable everywhere and uniformly continuous, and yet f is unbounded. Prove that your example is correct.

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