I don’t mean in which cases I can use them, nor how they work. I know how they work (at least at a basic level, the derivative of ax\^b is abx\^(b-1), but I mean… why is a function that does those steps useful to solve any problem? It really seems like a random choice of operations.
In: Mathematics
Physics is just math applied to the real world. Many things in this world can be “modeled” by relatively simple math equations. However, while we can use different terms to represent different things, those things we are representing still exist in the real world, and in the real world things don’t happen at the snap of a finger.
At the very end of the day it’s a bunch of atoms hitting each other or being influenced by some energy waves, derivatives allow us to closer model the realest state of the universe
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