# Question regarding the derivative terminalogy and wording

• I
When doing calculus, we typically say that we "take the derivative of a function ##f(x)##." However, rigorously, ##f(x)## is not a function but rather the value of the function ##f## evaluated at ##x##. Thus, in order for this wording to be correct shouldn't we have to write something like ##\displaystyle \frac{d}{dx}(x \mapsto f(x) )## instead of ##\displaystyle \frac{d}{dx}f(x)##, as we normally do? Something about this mix up of words and notation bothers me.

andrewkirk