Integration Derivation physical intuition?

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I know mathematically the procedure of computingderivative and integral but I don't perceive theconcept being that, I mean, I want to knowphysically what's a derivative because it's really weird how integrator getting 0 input, yields a constant output , physically what's a derivative and integrator?

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I recommend checking out these two articles:

https://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/

https://betterexplained.com/articles/calculus-building-intuition-for-the-derivative/

Succinctly, integrals are a form of better multiplication over changing variables and derivatives are better division over changing variables.