Back when I was in high school, the usage of the word "derive" to mean "take the derivative of" was really widespread. It always bothered me because I felt that the proper verb should be "differentiate." I wondering if this use of "derive" is acceptable or not. Has anyone else heard the word "derive" used in this way?
I say "not acceptable".
I don't recall the grammatical/linguistic term, but it seems like "derive" in that sense needs a "from" somewhere: "This theorem can be derived from blah blah."
"Differentiate", on the other hand, can be used directly with its object: "let's differentiate $f$" and so on.
Here is an illuminating xkcd forum thread on the topic. People (myself included) seem to agree that the word 'derive' is incorrect.
dirive musn't be used instead of differentiate...........but that what teachers at High schools do, of which is wrong because at Universities you can't say e.g f(x)=3x^2 f(x)=6x the process is diriving, instead of differentiating.
You derive the differential of a function through differentiation. The starting function is differentiated; the solution is derived.