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Suppose a cubic crystal is growing so that the side changes at the rate of 10mm per second when the side length is 20 mm. If I want to know how fast the volume of the cube is growing at that time, I must use the equation V=x^3 and take the implicit derivative with respect to t and solve for dV/dt. or Suppose a plane is headed on a course of 050 at 300 mph and another is headed due north at 500 mph. If you want to know how fast the direct distance between them is changing, you must use implicit differentiation. In short, for everyday going to the grocery store type activities you won't need implicit differentiation. For complicated problems involving different rates of change you need to use implicit differentiation.
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What are some applications of differentiation in real life?
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
Real life application of a four bar linkage?
vice grips
Application of definite integral in real life?
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.
What is the importance of differentiation and integration in real life?
There would be no modern technology without it. There would be no physics beyond the basic "high school" level. Physics leads to technology.
What is a real life application?
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.
