Nowadays, it's nearly impossible to obtain a university degree in a scientific discipline without completing at least some basic coursework in Calculus, and often times advanced courses are required. Calculus itself was more or less discovered by Newton and Leibniz in the 17th and 18th centuries. Scientists functioned for centuries without it, yet today, Calculus forms a foundation for modern quantitative research methods and seems nearly indispensable for any sort of serious empirical research.
At what point did training in Calculus become an essential part of a scientific education? That is, at what point did Calculus switch from being an interesting tool that some people were playing around with (but was little more than a footnote for everyone else) to an essential tool that more or less everyone in science was expected to use, or at least be able to use? Was this a gradual process, with Calculus becoming more and more important as "easy" problems that could be solved without it were solved, or was there a watershed event that ushered it in, such as a war or a specific discovery? I'm imagining this as somewhat similar to the transition from slide rules to pocket calculators, where there was a ten-year (ish) transition period during which both "camps" had at least somewhat strong support (and people who refused to switch could still function), but is this anything close to reality?