Introduction to Related Rates
The big idea
The related rates framework
Example 1: expanding circle
Example 2: rising balloon
Common geometric relationships
Key differentiation rules used
Setting up the equation correctly
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Example 3: filling cone
AP exam tips
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Vocabulary
Unit 4 topics
Unit 4 overview14.1 Interpreting the Meaning of the Derivative in Context24.2 Straight-Line Motion: Position and Velocity34.3 Straight-Line Motion: Acceleration and Speed44.4 Rates of Change in Applied Contexts54.5 Introduction to Related Rates64.6 Setting Up and Solving Related Rates Problems74.7 Advanced Related Rates Problems84.8 Approximating Values Using Local Linearity94.9 Linearization and Differentials104.10 Using L'Hôpital's Rule for Indeterminate Forms