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# Chapter 6. Introduction to the Derivative

• 6.1 Definition

• 6.2 Evaluating Derivatives

• 6.3 Differentiating Multivariable Functions

• 6.4 Differentiating Polynomials

• 6.5 Derivatives and Graphs of Functions

• 6.6 Adding and Subtracting Derivatives of Functions

• 6.7 Multiple or Repeated Derivatives of a Function

• 6.8 Derivatives of Products and Powers of Functions

• 6.9 Derivatives of Quotients of Functions

• 6.10 The Chain Rule for Differentiating Complicated Functions

• 6.11 Differentiation of Implicit vs. Explicit Functions

• 6.12 Using Derivatives to Determine the Shape of the Graph of a Function (Minimum and Maximum Points)

• 6.13 Other Rules of Differentiation

• 6.14 An Application of Differentiation: Curvilinear Motion

# Definition

• The derivative is used to describe the rate ...

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