Chapter 2
Differentiation
Definition of a Tangent Line with Slope m
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2-2
Definition of the Derivative of a Function
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2-3
Theorem 2.1 Differentiability Implies
Continiuty
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2-4
Theorem 2.2 The Constant Rule and Figure
2.14
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2-5
Theorem 2.3 The Power Rule
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2-6
Theorem 2.4 The Constant Multiple Rule
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2-7
Theorem 2.5 The Sum and Difference Rules
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2-8
Theorem 2.6 Derivatives of Sine and Cosine
Functions
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2-9
Theorem 2.7 The Product Rule
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2-10
Theorem 2.8 The Quotient Rule
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2-11
Theorem 2.9 Derivatives of Trigonometric
Function
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2-12
Theorem 2.10 The Chain Rule
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2-13
Theorem 2.11 The General Power Rule
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2-14
Summary of Differentiation Rules
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2-15
Guidelines for Implicit Differentiation
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2-16
Guidelines for Solving Related-Rate Problems
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2-17