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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The Mean Value Theorem for Integrals states that a continuous function on a closed interval takes on its average value at some point in that interval. T...

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The basic idea of the optimization problems that follow is the same. We have a particular quantity that we are interested in maximizing or minimizing. H...

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 ...

Our Calculus Volume 1 textbook adheres to the scope and sequence of most general calculus courses nationwide. We have worked to make calculus interesting and accessible to students while …