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  1. 3.3 Differentiation Rules - Calculus Volume 1 | OpenStax

    This free textbook is an OpenStax resource written to increase student access to high-quality, peer-reviewed learning materials.

  2. Ch. 1 Introduction - Calculus Volume 1 | OpenStax

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

  3. 1.1 Review of Functions - Calculus Volume 1 | OpenStax

    This free textbook is an OpenStax resource written to increase student access to high-quality, peer-reviewed learning materials.

  4. 5.2 The Definite Integral - Calculus Volume 1 | OpenStax

    The definite integral generalizes the concept of the area under a curve. We lift the requirements that ... be continuous and nonnegative, and define the...

  5. 2.4 Continuity - Calculus Volume 1 | OpenStax

    Throughout our study of calculus, we will encounter many powerful theorems concerning such functions. The first of these theorems is the Intermediate Value Theorem.

  6. 6.1 Areas between Curves - Calculus Volume 1 | OpenStax

    For the following exercises, solve using calculus, then check your answer with geometry. 56. Determine the equations for the sides of the square that touches the unit circle on all four …

  7. Calculus Volume 1 - OpenStax

    Study calculus online free by downloading volume 1 of OpenStax's college Calculus textbook and using our accompanying online resources.

  8. 7.2 Calculus of Parametric Curves - Calculus Volume 2 | OpenStax

    We start by asking how to calculate the slope of a line tangent to a parametric curve at a point. Consider the plane curve defined by the parametric equ...

  9. 2.3 The Limit Laws - Calculus Volume 1 | OpenStax

    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 ...

  10. 2.2 The Limit of a Function - Calculus Volume 1 | OpenStax

    Let’s first take a closer look at how the function ... behaves around ... in Figure 2.12. As the values of x approach 2 from either side of 2, the value...