CHAPTER TWODifferential Calculus

In this chapter you will learn about

  • The concept of the limit of a function;
  • What is meant by the derivative of a function;
  • Interpreting derivatives graphically;
  • Shortcuts for finding derivatives;
  • How to recognize derivatives of some common functions;
  • Finding the maximum or minimum values of functions;
  • Applying differential calculus to a variety of problems.

2.1 The Limit of a Function

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Before diving into differential calculus, it is essential to understand the concept of the limit of a function. The idea of a limit may be new to you, but it is at the heart of calculus, and it is essential to understand the material in this section before going on. Once you understand the concept of limits, you ...

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