![]() ![]() In this article, we're going toįind out how to calculate derivatives for quotients (or fractions) of functions.Ī useful real world problem that you probably won't find in your maths textbook.Ī xenophobic politician, Mary Redneck, proposes to prevent the entry of illegal immigrants into Australia by building a 20 m high wall around our coastline. Before diving into the rules, let’s briefly recall what we are actually trying to calculate when applying these rules. With the chain rule, we can differentiate nested expressions. To find a rate of change, we need to calculate a derivative. The quotient rule enables us to differentiate functions with divisions. The Quotient Rule for Derivatives IntroductionĬalculus is all about rates of change. 3.3.4 Use the quotient rule for finding the derivative of a quotient of functions. 3.3.3 Use the product rule for finding the derivative of a product of functions. 3.3.2 Apply the sum and difference rules to combine derivatives. To put this rule into context, let’s take a look at an example: \(h(x)\sin(x3)\).
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