CHAPTER 3:
Derivatives
3.1: Derivatives, Tangent Lines, and Rates of Change
3.2: Derivative Functions and Differentiability
3.3: Techniques of Differentiation
3.4: Derivatives of Trigonometric Functions
3.5: Differentials and Linearization of Functions
3.6: Chain Rule
3.7: Implicit Differentiation
3.8: Related Rates
• Derivatives represent slopes of tangent lines and rates of change (such as velocity).
• In this chapter, we will define derivatives and derivative functions using limits.
• We will develop short cut techniques for finding derivatives.
• Tangent lines correspond to local linear approximations of functions.
• Implicit differentiation is a technique used in applied related rates problems.

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