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Calculus can be used to solve many problems. Probably the most important is solving real-life problems or situations. An example of this type of problem is a related rates problem. A related rates problem is a problem which involves at least two changing quantities and asks you to figure out the rate at which one is changing given sufficient information on all of the others. There are several key steps in setting up and solving …

…differentiated with respect to t and solve. Therefore: 2 (5) (50) + 2 (12) (65) = 2 (13) ds/dt. 2060 = 26ds/dt ds/dt = 79.23 mph. So at the instant in question, the distance between the vehicles is increasing at approximately 79.23 miles per hour. This is just one type of problem that calculus is useful for solving. There are many other real life situations out there that depend on calculus to find the answer. Calculus is both a unique and definitely difficult way to solve problems.