if two functions f and g are continuous in some (a,b) and both are differently at a certain point in (a,b) then can we say that any combination of these is differentiable or that fog or gof is differentiable at this point ? also if one or both are not differentiable at a point can I say any combination of them is non differentiable or that fog or gof is non differentiable? ( by combination I mean +-/ × etc.)... I'm confused about this thing
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