Example of a continuous function

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Questions:

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 formula that Maple TA recognises. Check the syntax guide for examples of the functions that are accepted by Maple TA)?

b) Give an example of a function which is continuous at x=2but whose derivative does not exist at x=2?

c) Give an example of a function that is continuous at x=-2, x=0and x=3but whose derivative does not exist at any of those points?

Reference no: EM131227930

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