Calculus is the mathematics that describes changes in functions. In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and …

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The first two limit laws were stated in Two Important Limits and we repeat them here. These basic results, together with the other limit laws, allow us ...

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One common application of calculus is calculating the minimum or maximum value of a function. For example, companies often want to minimize production costs or maximize revenue.

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In many real-world applications, related quantities are changing with respect to time. For example, if we consider the balloon example again, we can say...