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Unformatted text preview: Related Rates To answer the question, we have to compare (or relate) the rate of change of one quantity to the rate of change of another quantity. Ex. Two cars leave from an intersection at the same time. One car travels north at 35 mi./ hr., the other travels east at 60 mi./hr. How fast is the distance between them changing after 2 hours? The rate of change of the distance between the two cars is related to the rate at which the cars are traveling. Solving Related Rates Problems Draw a diagram, if appropriate List what you know, including the related changing quantities Restate the problem in terms of rates of change: use mathematical notation for the changing quantities and their derivatives Find an equation relating the changing quantities Take the derivative with respect to time of the equation(s) to get the derived equation(s) relating the rates of change of the quantities Substitute the known values into the derived equation(s) Solve for the unknown derivative Ex.Ex....
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 Spring '11
 Staff
 Calculus

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