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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Toward the end of the twentieth century, the values of stocks of internet and technology companies rose dramatically. As a result, the Standard and Poor...

Learning Objectives 7.1.1 Plot a curve described by parametric equations. 7.1.2 Convert the parametric equations of a curve into the form 𝑦 = 𝑓 ⁡ (𝑥) . y = f ⁡ (x) . y = f (x). 7.1.3 Recognize the parametric …

Our Calculus Volume 3 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 …

Recall that the chain rule for the derivative of a composite of two functions can be written in the form...

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...

We begin our study of calculus by revisiting the notion of secant lines and tangent lines. Recall that we used the slope of a secant line to a function ...