Question: 5. Let f: [-1,1] R be a function which satisfies |f(x)| x for every x = [-1, 1]. Show that f is differentiable at

5. Let f: [-1,1] R be a function which satisfies |f(x)| x

5. Let f: [-1,1] R be a function which satisfies |f(x)| x for every x = [-1, 1]. Show that f is differentiable at 0 and find f'(0).

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