CHAPTER2

Limits, Derivatives, and Basic Integration

In This Chapter

  • Understanding the notion of a limit and continuity
  • Working with the derivative and differentiation formulas
  • Implicit differentiation
  • Solving max-min problems
  • Computing related rates problems

Calculus is essentially the study of two processes, instantaneous rates of change and accumulation. To study the notion of instantaneous rates of change, you first need to develop the concept of a “mathematical microscope,” the limit. Do you remember when you were first learning to graph a line? You were directed to make a table of values (at least three points to verify that you did ...

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