Linearization and Approximation — Practice and Extensions
Differentials
Differentials vs actual change
Example: estimating volume change
Percentage error formula
Linearization practice problems
When linearization fails
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Error bound (optional but useful)
Choosing the base point $a$
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