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Calculus I by W. Michael Kelley

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CHAPTER10

Common Differentiation Tasks

In This Chapter

  • Equations of tangent and normal lines
  • Differentiating equations containing multiple variables
  • Derivatives of inverse functions
  • Differentiating parametric equations
  • Solving gross equations with your calculator

Even though the derivative is just the slope of a tangent line, its uses are innumerable. We’ve already seen that it describes the instantaneous rate of change of a nonlinear function. However, that hardly explains why it’s one of the most revolutionary mathematical concepts in history. Soon we’ll be exploring more (and substantially more exciting) uses for the derivative.

In the ...

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