# Common misconceptions about the differentiation operator

(Note: math may not render properly in Microsoft Edge. Any other browser should work, though. I'm trying to figure out the source of this issue.) This is the differentiation operator in single variable calculus: $$\frac{d}{dx}$$ Since several procedures in calculus happen to involve manipulating the "numerator" and "denominator" of the differentiation operator, people have gained the incorrect idea that it IS in fact a ratio of two "infinitely small" quantities. This is absolutely not tru...