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hey I'm undergrad in engineering
we've used derivatives in many real world practical problems. it's useful in dynamics, thermodynamics, fluid mechanics, heat transfer, material mechanics, and more stuff
don't think of it as a slope on a graph, but instead think of it as how much one thing changes with respect to how much something else changes. many many engineering problems deal with this relation. for example, the force of gravity changes with respect to distance from a planet: dF/dr. without accounting for this simple relation, any kind of space flight, orbit, even long range missiles, would all be impossible
stay in school, kids
