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Let f(x)=sinx,\ g(x)={{maxf(t),0lt=tlt...

Let `f(x)=sinx,\ g(x)={{maxf(t),0lt=tlt=x}` for `0lt=xlt=pi(1-cosx)/2` for `x >pi ` Then number of point in `(0,oo)` where `f(x)` is not differentiable is

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