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The purpose of this article is to give a basic introduction to the world of calculus and its uses in mathematics, all of the sciences and the financial markets, to name a few. Put simply, calculus is the study of limits and infinite series. By putting these 2 things together, we have derivatives and integrals. Derivatives give the rate of change in the value of a function, with respect to one of its variables. For example, we have the derivative with respect to time of position, which gives us velocity. The derivative with respect to time of velocity gives us acceleration. Formally, and de...