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
The derivative itself is useful.
Because you get to easily see the rate of change of something. And for higher derivatives you get to see the rate of change of the rate of change.
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