In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and logarithmic functions.

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In this section we look at some applications of the derivative by focusing on the interpretation of the derivative as the rate of change of a function. These applications include acceleration and velocity in …

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 ...

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...