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Yes if it was not practical it was not there. You can see the real life use on this link http://www.intmath.com/Applications-differentiation/Applications-of-differentiation-intro.php
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A real life application is a situation that you may have faced or could face in the near future, usually based on a skill learned from typical school subjects. It is used to help prepare students for such situations, or to demonstrate that something they are learning is relevant to their lives. For example, while reading a textbook on mathematics you may encounter a passage that describes a real-life application of one of the skills in the chapter.
Finding the area under a curve or the length of a line segment. These are real life uses, not just fun in your math class.
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