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...

Fundamental Theorem of Calculus, Part 1 5.3 The Fundamental Theorem of Calculus Fundamental Theorem of Calculus, Part 2 5.3 The Fundamental Theorem of Calculus G graph …

Iceboats are a common sight on the lakes of Wisconsin and Minnesota on winter weekends. Iceboats are similar to sailboats, but they are fitted with runn...

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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 …