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(1) [itex]d(x\cos x)=(\cos x-x\sin x)dx[/itex]

(2) [itex]\frac{d}{dx}(x\cos x)=(\cos x-x\sin x)[/itex]

I would describe these both as differentiation. Is there a standard terminology that allows one to make the distinction between the two, if desired? The best I could come up with was "taking a differential" for 1, as distinguished from "differentiating a function" for 2. But these are both awkward, and I don't know if they're standard or would be widely understood.