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Number of point where function f(x) defi...

Number of point where function f(x) defined as `f:[0,2pi] rarrR,f(x)={{:(3-|cosx-(1)/(sqrt2)|",",|sinx|lt(1)/(sqrt2)),(2+|cosx+(1)/(sqrt2)|",",|sinx|ge(1)/(sqrt2)):}` is non differentiable is

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