(a) Give an example of a continuous function whose derivative does not exist at x = 0. (Hint: this would be relatively easy to do with a piecewise function, but you have to think of a function that uses a formula that Mobius recognises. Check the Mobius Syntax Guide on MyUni for examples of the functions that are accepted by Mobius - the answer is in there.) (b) Give an example of a function which is continuous at x = 2 but whose derivative does not exist at z = 2. (c) Give an example of a function that is continuous at x = -2, x = 0 and x = 3 but whose derivative does not exist at any of those points.

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