Question: b) Find an example of a continuous function f:(-1,1)R with f(0)=0, but such that g(x):=(f(x))2 is not differentiable at the origin.

b) Find an example of a continuous function f:(-1,1)R with f(0)=0, but such that g(x):=(f(x))2 is not differentiable at the origin.

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