What are the Computer Science tasks that use derivatives and integrals?

Question

Informatics

Interested in whether there are applied problems in programming that are solved using integral / differential equations (perhaps in DataScience or image processing, or somewhere else). For example, as far as I know, the solution to such problems is implemented in SciPy, but why? I would just like to understand where it can be applied.

Answer 1

for example, the simplest implementation in the game of moving a little car in free space will already require integral calculus.
the more math and real-world relevance, the more realistic your toy looks.
not to mention the physical reality engines in serious games.
etc. etc.
if we talk about datascans, then there is generally a bunch of mathematics that is much more complicated than difur with integration.
for example, a protein folding model, models of the chemical interaction of substances, a model of the behavior of the atmosphere, models for predicting the behavior of stock exchanges, etc. etc.
in the process control system, in general, everything is built at least on PID controllers, and there are also blocks and more complex functions.