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well derivatives cannt be used without limits so it is application for calculus
determine the concentration of a medicine in a person's body over time, taking into account how much substance and how frequently it is taken and how fast it metabolises
Marine biology is a vast discipline incorporating every aspect of biology but with a marine emphasis, this ranges from ecology (which is heavily statistical) to physiology. So in answer to your question, yes it is used, the need however depends on what path you take. Vector calculus has proved to be useful while studying marine biology.
Leibniz's contribution was more on developing the theoretical basis and the notation whereas Newton's was more in its application.
It is a tool for an engineer. I am a mechanical engineer, and you MUST know your calculus to be able to get through it, or through physics with calc. Good luck!