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Chapter 11

Methods of Differentiation

Limits, the derivative as a rate of change and as the limit of the difference quotient, the core differentiation rules (power, sum/difference, product, quotient, chain), and implicit differentiation.

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11.1 Limit of Functions

The Idea of a LimitMedium
Evaluating Limits by Direct Substitution and FactoringMedium

11.2 Derivatives

The Derivative as a Rate of ChangeMedium
The Derivative as the Limit of the Difference QuotientHard

11.3 Differentiation Rules

The Power RuleMedium
The Sum and Difference RulesEasy
The Product RuleHard
The Quotient RuleHard
The Chain RuleHard

11.4 Implicit Differentiation

Implicit DifferentiationHard
Applications of Implicit DifferentiationHard

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