What are applications of derivatives and why are they used?  

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You need to know that derivatives help us to solve optimization problems, that make us to decide what is the most convenient way to realize a project.

If the function that models the process is differentiated, it could tells you information about the local or absolute minimum or maximum points.

Hence, using derivatives, you may have a general idea about the critical points of the function that models the behaviour of the phenomenon you study.