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As with any advanced math, whether you use it in your "real life" or not depends on whether you work in the engineering field or not. One very practical application of the derivative (for engineers) is to find the maximum (or minimum) of a function. Such maxima or minima can appear at points where the derivative is zero or undefined (also, at the endpoints of the range under consideration). Another application is to analyze the behavior of functions in general. This can assist you in graphing the functions.
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